diff --git a/src/proto_alpha/lib_parameters/default_parameters.ml b/src/proto_alpha/lib_parameters/default_parameters.ml
index 578850785b856fe100713730c4cc59baf1f0f684..3394195ddb7eeb4dbf4b2a2ab9c954c1faabe408 100644
--- a/src/proto_alpha/lib_parameters/default_parameters.ml
+++ b/src/proto_alpha/lib_parameters/default_parameters.ml
@@ -199,33 +199,46 @@ let constants_mainnet =
            (minus overhead), since we need to limit our proofs to those
            that can fit in an operation. *)
         rejection_max_proof_size = 30000;
-        (* This is the first block of cycle 618, which is expected to be
-           about one year after the activation of protocol J.
-           See https://tzstats.com/cycle/618 *)
+        (* This is the first block of cycle 618, which is expected to
+           be about one year after the activation of protocol J.  See
+           https://tzstats.com/cycle/618 *)
         sunset_level = 3_473_409l;
       };
     dal = default_dal;
     sc_rollup =
-      {
-        enable = false;
-        (* The following value is chosen to prevent spam. *)
-        origination_size = 6_314;
-        challenge_window_in_blocks = sc_rollup_challenge_window_in_blocks;
-        (* The following value is chosen to limit the length of inbox refutation proofs. *)
-        (* TODO: https://gitlab.com/tezos/tezos/-/issues/2373
-           check this is reasonable. *)
-        max_number_of_messages_per_commitment_period = 32_765;
-        (* TODO: https://gitlab.com/tezos/tezos/-/issues/2756
-           The following constants need to be refined. *)
-        stake_amount = Tez.of_mutez_exn 10_000_000_000L;
-        commitment_period_in_blocks = 30;
-        max_lookahead_in_blocks = 30_000l;
-        max_active_outbox_levels = sc_rollup_max_active_outbox_levels;
-        max_outbox_messages_per_level = sc_rollup_max_outbox_messages_per_level;
-        number_of_sections_in_dissection = 32;
-        timeout_period_in_blocks = sc_rollup_timeout_period_in_blocks;
-        max_number_of_stored_cemented_commitments = 5;
-      };
+      (let commitment_period_in_blocks = 30 in
+       {
+         enable = false;
+         (* The following value is chosen to prevent spam. *)
+         origination_size = 6_314;
+         challenge_window_in_blocks = sc_rollup_challenge_window_in_blocks;
+         commitment_period_in_blocks;
+         (*
+
+            The following value is chosen to limit the length of inbox
+            refutation proofs. In the worst case, the length of inbox
+            refutation proofs are logarithmic (in basis 2) in the
+            number of messages in the inboxes during the commitment
+            period.
+
+            With the following value, an inbox refutation proof is
+            made of at most 35 hashes, hence a payload bounded by
+            35 * 48 bytes, which far below than the 32kb of a Tezos
+            operations.
+
+         *)
+         max_number_of_messages_per_commitment_period =
+           commitment_period_in_blocks * 10_000_000;
+         (* TODO: https://gitlab.com/tezos/tezos/-/issues/2756
+            The following constants need to be refined. *)
+         stake_amount = Tez.of_mutez_exn 10_000_000_000L;
+         max_lookahead_in_blocks = 30_000l;
+         max_active_outbox_levels = sc_rollup_max_active_outbox_levels;
+         max_outbox_messages_per_level = sc_rollup_max_outbox_messages_per_level;
+         number_of_sections_in_dissection = 32;
+         timeout_period_in_blocks = sc_rollup_timeout_period_in_blocks;
+         max_number_of_stored_cemented_commitments = 5;
+       });
   }
 
 let default_dal_sandbox =
diff --git a/src/proto_alpha/lib_protocol/raw_context.ml b/src/proto_alpha/lib_protocol/raw_context.ml
index c38aaca8542d66a2845b0abf2d83c1394ecfc876..f7de291e1bb59d2a6ae88762fedb2772a3dc509e 100644
--- a/src/proto_alpha/lib_protocol/raw_context.ml
+++ b/src/proto_alpha/lib_protocol/raw_context.ml
@@ -935,11 +935,22 @@ let prepare_first_block ~level ~timestamp ctxt =
             enable = c.sc_rollup.enable;
             origination_size = c.sc_rollup.origination_size;
             challenge_window_in_blocks = c.sc_rollup.challenge_window_in_blocks;
-            (* The following value is chosen to limit the maximal
-               length of an inbox refutation proof. *)
-            (* TODO: https://gitlab.com/tezos/tezos/-/issues/2373
-               check this is reasonable. *)
-            max_number_of_messages_per_commitment_period = 32_765;
+            (*
+
+              The following value is chosen to limit the length of inbox
+              refutation proofs. In the worst case, the length of inbox
+              refutation proofs are logarithmic (in basis 2) in the
+              number of messages in the inboxes during the commitment
+              period.
+
+              With the following value, an inbox refutation proof is
+              made of at most 35 hashes, hence a payload bounded by
+              35 * 48 bytes, which far below than the 32kb of a Tezos
+              operations.
+
+            *)
+            max_number_of_messages_per_commitment_period =
+              c.sc_rollup.commitment_period_in_blocks * 10_000_000;
             (* TODO: https://gitlab.com/tezos/tezos/-/issues/2756
                The following constants need to be refined. *)
             stake_amount = Tez_repr.of_mutez_exn 10_000_000_000L;
diff --git a/src/proto_alpha/lib_protocol/test/helpers/block.ml b/src/proto_alpha/lib_protocol/test/helpers/block.ml
index 77660df040249912946c7ea6aae5a2e97c845901..53f70e3a3f424dcb08e6a69e60d508798744d749 100644
--- a/src/proto_alpha/lib_protocol/test/helpers/block.ml
+++ b/src/proto_alpha/lib_protocol/test/helpers/block.ml
@@ -445,8 +445,8 @@ let prepare_initial_context_params ?consensus_threshold ?min_proposal_quorum
     ?baking_reward_bonus_per_slot ?baking_reward_fixed_portion ?origination_size
     ?blocks_per_cycle ?cycles_per_voting_period ?tx_rollup_enable
     ?tx_rollup_sunset_level ?tx_rollup_origination_size ?sc_rollup_enable
-    ?dal_enable ?hard_gas_limit_per_block ?nonce_revelation_threshold
-    initial_accounts =
+    ?sc_rollup_max_number_of_messages_per_commitment_period ?dal_enable
+    ?hard_gas_limit_per_block ?nonce_revelation_threshold initial_accounts =
   let open Tezos_protocol_alpha_parameters in
   let constants = Default_parameters.constants_test in
   let min_proposal_quorum =
@@ -505,6 +505,11 @@ let prepare_initial_context_params ?consensus_threshold ?min_proposal_quorum
   let sc_rollup_enable =
     Option.value ~default:constants.sc_rollup.enable sc_rollup_enable
   in
+  let sc_rollup_max_number_of_messages_per_commitment_period =
+    Option.value
+      ~default:constants.sc_rollup.max_number_of_messages_per_commitment_period
+      sc_rollup_max_number_of_messages_per_commitment_period
+  in
   let dal_enable =
     Option.value ~default:constants.dal.feature_enable dal_enable
   in
@@ -538,7 +543,13 @@ let prepare_initial_context_params ?consensus_threshold ?min_proposal_quorum
           sunset_level = tx_rollup_sunset_level;
           origination_size = tx_rollup_origination_size;
         };
-      sc_rollup = {constants.sc_rollup with enable = sc_rollup_enable};
+      sc_rollup =
+        {
+          constants.sc_rollup with
+          enable = sc_rollup_enable;
+          max_number_of_messages_per_commitment_period =
+            sc_rollup_max_number_of_messages_per_commitment_period;
+        };
       dal = {constants.dal with feature_enable = dal_enable};
       hard_gas_limit_per_block;
       nonce_revelation_threshold;
@@ -591,7 +602,8 @@ let genesis ?commitments ?consensus_threshold ?min_proposal_quorum
     ?endorsing_reward_per_slot ?baking_reward_bonus_per_slot
     ?baking_reward_fixed_portion ?origination_size ?blocks_per_cycle
     ?cycles_per_voting_period ?tx_rollup_enable ?tx_rollup_sunset_level
-    ?tx_rollup_origination_size ?sc_rollup_enable ?dal_enable
+    ?tx_rollup_origination_size ?sc_rollup_enable
+    ?sc_rollup_max_number_of_messages_per_commitment_period ?dal_enable
     ?hard_gas_limit_per_block ?nonce_revelation_threshold
     (initial_accounts :
       (Account.t * Tez.t * Signature.Public_key_hash.t option) list) =
@@ -611,6 +623,7 @@ let genesis ?commitments ?consensus_threshold ?min_proposal_quorum
     ?tx_rollup_sunset_level
     ?tx_rollup_origination_size
     ?sc_rollup_enable
+    ?sc_rollup_max_number_of_messages_per_commitment_period
     ?dal_enable
     ?hard_gas_limit_per_block
     ?nonce_revelation_threshold
diff --git a/src/proto_alpha/lib_protocol/test/helpers/block.mli b/src/proto_alpha/lib_protocol/test/helpers/block.mli
index dc3d70f88721a826b74698d965ab36d7270c1068..ce57cd710fba101fed451684c63ea1e9c08adf2d 100644
--- a/src/proto_alpha/lib_protocol/test/helpers/block.mli
+++ b/src/proto_alpha/lib_protocol/test/helpers/block.mli
@@ -128,6 +128,7 @@ val genesis :
   ?tx_rollup_sunset_level:int32 ->
   ?tx_rollup_origination_size:int ->
   ?sc_rollup_enable:bool ->
+  ?sc_rollup_max_number_of_messages_per_commitment_period:int ->
   ?dal_enable:bool ->
   ?hard_gas_limit_per_block:Gas.Arith.integral ->
   ?nonce_revelation_threshold:int32 ->
@@ -272,6 +273,7 @@ val prepare_initial_context_params :
   ?tx_rollup_sunset_level:int32 ->
   ?tx_rollup_origination_size:int ->
   ?sc_rollup_enable:bool ->
+  ?sc_rollup_max_number_of_messages_per_commitment_period:int ->
   ?dal_enable:bool ->
   ?hard_gas_limit_per_block:Gas.Arith.integral ->
   ?nonce_revelation_threshold:int32 ->
diff --git a/src/proto_alpha/lib_protocol/test/helpers/context.ml b/src/proto_alpha/lib_protocol/test/helpers/context.ml
index f4a461f70e4044a96c21312945b2a75b8b2a456d..b102aa4a31ede8e50dda2f9a10fe711696e2bed5 100644
--- a/src/proto_alpha/lib_protocol/test/helpers/context.ml
+++ b/src/proto_alpha/lib_protocol/test/helpers/context.ml
@@ -449,7 +449,8 @@ let init_gen tup ?rng_state ?commitments ?(initial_balances = [])
     ?endorsing_reward_per_slot ?baking_reward_bonus_per_slot
     ?baking_reward_fixed_portion ?origination_size ?blocks_per_cycle
     ?cycles_per_voting_period ?tx_rollup_enable ?tx_rollup_sunset_level
-    ?tx_rollup_origination_size ?sc_rollup_enable ?dal_enable
+    ?tx_rollup_origination_size ?sc_rollup_enable
+    ?sc_rollup_max_number_of_messages_per_commitment_period ?dal_enable
     ?hard_gas_limit_per_block ?nonce_revelation_threshold () =
   let n = tup_n tup in
   let accounts =
@@ -482,6 +483,7 @@ let init_gen tup ?rng_state ?commitments ?(initial_balances = [])
     ?tx_rollup_sunset_level
     ?tx_rollup_origination_size
     ?sc_rollup_enable
+    ?sc_rollup_max_number_of_messages_per_commitment_period
     ?dal_enable
     ?hard_gas_limit_per_block
     ?nonce_revelation_threshold
diff --git a/src/proto_alpha/lib_protocol/test/helpers/context.mli b/src/proto_alpha/lib_protocol/test/helpers/context.mli
index e9e504eb5f2238c5908a648618184dc1ea0a95e0..66fed3b9e5c5966ee04b024d8c75bad8a91d44a2 100644
--- a/src/proto_alpha/lib_protocol/test/helpers/context.mli
+++ b/src/proto_alpha/lib_protocol/test/helpers/context.mli
@@ -273,6 +273,7 @@ type 'accounts init :=
   ?tx_rollup_sunset_level:int32 ->
   ?tx_rollup_origination_size:int ->
   ?sc_rollup_enable:bool ->
+  ?sc_rollup_max_number_of_messages_per_commitment_period:int ->
   ?dal_enable:bool ->
   ?hard_gas_limit_per_block:Gas.Arith.integral ->
   ?nonce_revelation_threshold:int32 ->
diff --git a/src/proto_alpha/lib_protocol/test/integration/operations/test_sc_rollup.ml b/src/proto_alpha/lib_protocol/test/integration/operations/test_sc_rollup.ml
index 071046c2ad161ff18a63452bc1fc7dd0495c439a..3e92585ca863b1db406c396fd9f41213debbcb8f 100644
--- a/src/proto_alpha/lib_protocol/test/integration/operations/test_sc_rollup.ml
+++ b/src/proto_alpha/lib_protocol/test/integration/operations/test_sc_rollup.ml
@@ -81,7 +81,15 @@ let assert_equal_z ~loc x y =
   [sc_rollup_enable] constant is set to true. It returns the created
   context and contracts. *)
 let context_init ?(sc_rollup_challenge_window_in_blocks = 10)
+    ?sc_rollup_max_number_of_messages_per_commitment_period
     ?(timeout_period_in_blocks = 10) tup =
+  let max_number_of_messages_per_commitment_period =
+    match sc_rollup_max_number_of_messages_per_commitment_period with
+    | None ->
+        Context.default_test_constants.sc_rollup
+          .max_number_of_messages_per_commitment_period
+    | Some v -> v
+  in
   Context.init_with_constants_gen
     tup
     {
@@ -92,6 +100,7 @@ let context_init ?(sc_rollup_challenge_window_in_blocks = 10)
           Context.default_test_constants.sc_rollup with
           enable = true;
           challenge_window_in_blocks = sc_rollup_challenge_window_in_blocks;
+          max_number_of_messages_per_commitment_period;
           timeout_period_in_blocks;
         };
     }
@@ -1393,7 +1402,25 @@ let test_insufficient_ticket_balances () =
        output)
 
 let test_inbox_max_number_of_messages_per_commitment_period () =
-  let* block, (account1, account2) = context_init Context.T2 in
+  let sc_rollup_max_number_of_messages_per_commitment_period =
+    (*
+
+       We set this parameter constant with a low value for this test
+       because the default value is too high to be tested.
+
+       This limit exists to implement a (theoretical) defensive
+       programming scheme against large inbox refutations proofs. It
+       is theoretical because the lenght of these proofs is
+       logarithmic in the number of messages.
+
+    *)
+    1000
+  in
+  let* block, (account1, account2) =
+    context_init
+      ~sc_rollup_max_number_of_messages_per_commitment_period
+      Context.T2
+  in
   let* block, rollup = sc_originate block account1 "unit" in
   let* constants = Context.get_constants (B block) in
   let Constants.Parametric.{max_number_of_messages_per_commitment_period; _} =
diff --git a/src/proto_alpha/lib_protocol/test/unit/test_sc_rollup_storage.ml b/src/proto_alpha/lib_protocol/test/unit/test_sc_rollup_storage.ml
index beef07429ecd0569e98bffc5c807cafa22c11acd..76c1beaa3bacf437fb21690520722b12c9a31466 100644
--- a/src/proto_alpha/lib_protocol/test/unit/test_sc_rollup_storage.ml
+++ b/src/proto_alpha/lib_protocol/test/unit/test_sc_rollup_storage.ml
@@ -46,7 +46,17 @@ let new_context_with_stakers nb_stakers =
   let*? initial_balances =
     List.init ~when_negative_length:[] nb_stakers (fun _ -> initial_balance)
   in
-  let* b, contracts = Context.init_n ~initial_balances nb_stakers () in
+  let sc_rollup_max_number_of_messages_per_commitment_period =
+    (* The default value is too large for testing. *)
+    1000
+  in
+  let* b, contracts =
+    Context.init_n
+      ~initial_balances
+      nb_stakers
+      ~sc_rollup_max_number_of_messages_per_commitment_period
+      ()
+  in
   let+ inc = Incremental.begin_construction b in
   let state = Incremental.validation_state inc in
   let ctxt = state.ctxt in
diff --git a/tezt/tests/expected/RPC_test.ml/Alpha- (mode client) RPC regression tests- misc_protocol.out b/tezt/tests/expected/RPC_test.ml/Alpha- (mode client) RPC regression tests- misc_protocol.out
index 26dade38ca1b1ab478fdc6c76a335585e153b956..d0820eac95fd49ea77d5bc4f82a49251be7e8258 100644
--- a/tezt/tests/expected/RPC_test.ml/Alpha- (mode client) RPC regression tests- misc_protocol.out	
+++ b/tezt/tests/expected/RPC_test.ml/Alpha- (mode client) RPC regression tests- misc_protocol.out	
@@ -50,7 +50,7 @@
       "redundancy_factor": 4, "segment_size": 4096 },
   "sc_rollup_enable": false, "sc_rollup_origination_size": 6314,
   "sc_rollup_challenge_window_in_blocks": 20160,
-  "sc_rollup_max_number_of_messages_per_commitment_period": 32765,
+  "sc_rollup_max_number_of_messages_per_commitment_period": 300000000,
   "sc_rollup_stake_amount": "10000000000",
   "sc_rollup_commitment_period_in_blocks": 30,
   "sc_rollup_max_lookahead_in_blocks": 30000,
diff --git a/tezt/tests/expected/RPC_test.ml/Alpha- (mode light) RPC regression tests- misc_protocol.out b/tezt/tests/expected/RPC_test.ml/Alpha- (mode light) RPC regression tests- misc_protocol.out
index 147daeffe854454f77a7f097aab23a06b4e3345c..8e88f208fcd9b030e4ee891f8b862a3676f7cc97 100644
--- a/tezt/tests/expected/RPC_test.ml/Alpha- (mode light) RPC regression tests- misc_protocol.out	
+++ b/tezt/tests/expected/RPC_test.ml/Alpha- (mode light) RPC regression tests- misc_protocol.out	
@@ -50,7 +50,7 @@
       "redundancy_factor": 4, "segment_size": 4096 },
   "sc_rollup_enable": false, "sc_rollup_origination_size": 6314,
   "sc_rollup_challenge_window_in_blocks": 20160,
-  "sc_rollup_max_number_of_messages_per_commitment_period": 32765,
+  "sc_rollup_max_number_of_messages_per_commitment_period": 300000000,
   "sc_rollup_stake_amount": "10000000000",
   "sc_rollup_commitment_period_in_blocks": 30,
   "sc_rollup_max_lookahead_in_blocks": 30000,
diff --git a/tezt/tests/expected/RPC_test.ml/Alpha- (mode proxy) RPC regression tests- misc_protocol.out b/tezt/tests/expected/RPC_test.ml/Alpha- (mode proxy) RPC regression tests- misc_protocol.out
index b2b35d89d30c21bde806eacbc568f1b28a06a55c..2e32dff28cc8ee4f041352cff91a0f0de1232220 100644
--- a/tezt/tests/expected/RPC_test.ml/Alpha- (mode proxy) RPC regression tests- misc_protocol.out	
+++ b/tezt/tests/expected/RPC_test.ml/Alpha- (mode proxy) RPC regression tests- misc_protocol.out	
@@ -50,7 +50,7 @@
       "redundancy_factor": 4, "segment_size": 4096 },
   "sc_rollup_enable": false, "sc_rollup_origination_size": 6314,
   "sc_rollup_challenge_window_in_blocks": 20160,
-  "sc_rollup_max_number_of_messages_per_commitment_period": 32765,
+  "sc_rollup_max_number_of_messages_per_commitment_period": 300000000,
   "sc_rollup_stake_amount": "10000000000",
   "sc_rollup_commitment_period_in_blocks": 30,
   "sc_rollup_max_lookahead_in_blocks": 30000,
diff --git a/tezt/tests/expected/RPC_test.ml/Alpha- (mode proxy_server_data_dir) RPC regression tests- misc_protocol.out b/tezt/tests/expected/RPC_test.ml/Alpha- (mode proxy_server_data_dir) RPC regression tests- misc_protocol.out
index f8ede612433b081f139ddfd985d91e4f7340b05e..5b37e1c8add2ba6317807712ea378376e986a2cd 100644
--- a/tezt/tests/expected/RPC_test.ml/Alpha- (mode proxy_server_data_dir) RPC regression tests- misc_protocol.out	
+++ b/tezt/tests/expected/RPC_test.ml/Alpha- (mode proxy_server_data_dir) RPC regression tests- misc_protocol.out	
@@ -50,7 +50,7 @@
       "redundancy_factor": 4, "segment_size": 4096 },
   "sc_rollup_enable": false, "sc_rollup_origination_size": 6314,
   "sc_rollup_challenge_window_in_blocks": 20160,
-  "sc_rollup_max_number_of_messages_per_commitment_period": 32765,
+  "sc_rollup_max_number_of_messages_per_commitment_period": 300000000,
   "sc_rollup_stake_amount": "10000000000",
   "sc_rollup_commitment_period_in_blocks": 30,
   "sc_rollup_max_lookahead_in_blocks": 30000,
diff --git a/tezt/tests/expected/RPC_test.ml/Alpha- (mode proxy_server_rpc) RPC regression tests- misc_protocol.out b/tezt/tests/expected/RPC_test.ml/Alpha- (mode proxy_server_rpc) RPC regression tests- misc_protocol.out
index f8ede612433b081f139ddfd985d91e4f7340b05e..5b37e1c8add2ba6317807712ea378376e986a2cd 100644
--- a/tezt/tests/expected/RPC_test.ml/Alpha- (mode proxy_server_rpc) RPC regression tests- misc_protocol.out	
+++ b/tezt/tests/expected/RPC_test.ml/Alpha- (mode proxy_server_rpc) RPC regression tests- misc_protocol.out	
@@ -50,7 +50,7 @@
       "redundancy_factor": 4, "segment_size": 4096 },
   "sc_rollup_enable": false, "sc_rollup_origination_size": 6314,
   "sc_rollup_challenge_window_in_blocks": 20160,
-  "sc_rollup_max_number_of_messages_per_commitment_period": 32765,
+  "sc_rollup_max_number_of_messages_per_commitment_period": 300000000,
   "sc_rollup_stake_amount": "10000000000",
   "sc_rollup_commitment_period_in_blocks": 30,
   "sc_rollup_max_lookahead_in_blocks": 30000,
diff --git a/tezt/tests/expected/sc_rollup.ml/Alpha- arith - rollup node - correct handling of commitments (no_commitment_publ.out b/tezt/tests/expected/sc_rollup.ml/Alpha- arith - rollup node - correct handling of commitments (no_commitment_publ.out
index 7bb192ce8263db688e796e1a0a9efe691a29a003..a379c4399ca03eee55b1e7d83642b4fb52c9b08a 100644
--- a/tezt/tests/expected/sc_rollup.ml/Alpha- arith - rollup node - correct handling of commitments (no_commitment_publ.out	
+++ b/tezt/tests/expected/sc_rollup.ml/Alpha- arith - rollup node - correct handling of commitments (no_commitment_publ.out	
@@ -106,7 +106,7 @@ This sequence of operations was run:
       "redundancy_factor": 4, "segment_size": 4096 },
   "sc_rollup_enable": true, "sc_rollup_origination_size": 6314,
   "sc_rollup_challenge_window_in_blocks": 1,
-  "sc_rollup_max_number_of_messages_per_commitment_period": 32765,
+  "sc_rollup_max_number_of_messages_per_commitment_period": 300000000,
   "sc_rollup_stake_amount": "10000000000",
   "sc_rollup_commitment_period_in_blocks": 30,
   "sc_rollup_max_lookahead_in_blocks": 30000,
@@ -215,7 +215,7 @@ This sequence of operations was run:
       "redundancy_factor": 4, "segment_size": 4096 },
   "sc_rollup_enable": true, "sc_rollup_origination_size": 6314,
   "sc_rollup_challenge_window_in_blocks": 1,
-  "sc_rollup_max_number_of_messages_per_commitment_period": 32765,
+  "sc_rollup_max_number_of_messages_per_commitment_period": 300000000,
   "sc_rollup_stake_amount": "10000000000",
   "sc_rollup_commitment_period_in_blocks": 30,
   "sc_rollup_max_lookahead_in_blocks": 30000,
diff --git a/tezt/tests/expected/sc_rollup.ml/Alpha- wasm_2_0_0 - rollup node - correct handling of commitments (no_commitment.out b/tezt/tests/expected/sc_rollup.ml/Alpha- wasm_2_0_0 - rollup node - correct handling of commitments (no_commitment.out
index 059fa042c164e7c8d2e68010dc7d317e866c599b..18df2c9eb118b7fa0737dd11575efa3731d4023a 100644
--- a/tezt/tests/expected/sc_rollup.ml/Alpha- wasm_2_0_0 - rollup node - correct handling of commitments (no_commitment.out	
+++ b/tezt/tests/expected/sc_rollup.ml/Alpha- wasm_2_0_0 - rollup node - correct handling of commitments (no_commitment.out	
@@ -106,7 +106,7 @@ This sequence of operations was run:
       "redundancy_factor": 4, "segment_size": 4096 },
   "sc_rollup_enable": true, "sc_rollup_origination_size": 6314,
   "sc_rollup_challenge_window_in_blocks": 1,
-  "sc_rollup_max_number_of_messages_per_commitment_period": 32765,
+  "sc_rollup_max_number_of_messages_per_commitment_period": 300000000,
   "sc_rollup_stake_amount": "10000000000",
   "sc_rollup_commitment_period_in_blocks": 30,
   "sc_rollup_max_lookahead_in_blocks": 30000,
@@ -215,7 +215,7 @@ This sequence of operations was run:
       "redundancy_factor": 4, "segment_size": 4096 },
   "sc_rollup_enable": true, "sc_rollup_origination_size": 6314,
   "sc_rollup_challenge_window_in_blocks": 1,
-  "sc_rollup_max_number_of_messages_per_commitment_period": 32765,
+  "sc_rollup_max_number_of_messages_per_commitment_period": 300000000,
   "sc_rollup_stake_amount": "10000000000",
   "sc_rollup_commitment_period_in_blocks": 30,
   "sc_rollup_max_lookahead_in_blocks": 30000,