diff --git a/src/lib_gossipsub/gossipsub_intf.ml b/src/lib_gossipsub/gossipsub_intf.ml
index d20d33b54c9ea47c7b1bc1e3faf1ab2feab8c74c..572d0adb843523f83025d3498c32adfc8b4c381e 100644
--- a/src/lib_gossipsub/gossipsub_intf.ml
+++ b/src/lib_gossipsub/gossipsub_intf.ml
@@ -163,10 +163,16 @@ type ('topic, 'span) topic_score_parameters =
 
 (* N.B.: unlike the Go/Rust implementations, scores are not refreshed in an asynchronous
    loop but rather in the heartbeat. Hence, we do not have the [decay_interval] parameter.
-   Scores are refreshed and decayed every [score_cleanup_ticks] heartbeats (see [limits]). *)
+   Scores are refreshed and decayed every [score_cleanup_ticks] heartbeats (see [limits]).
+
+   TODO: https://gitlab.com/tezos/tezos/-/issues/5545
+   We did not implement P6, aka IP colocation factor *)
 type ('topic, 'span) score_parameters = {
   topics : ('topic, 'span) topic_score_parameters;
       (** Per-topic score parameters. *)
+  topic_score_cap : float option;
+      (** An optional cap on the total positive contribution of topics to the score of the peer.
+          If not equal to [None], must be non-negative. *)
   behaviour_penalty_weight : float;
       (** P7: The weight of the score associated to the behaviour penalty. This
           parameter must be negative. *)
diff --git a/src/lib_gossipsub/peers_score.ml b/src/lib_gossipsub/peers_score.ml
index e892f67d2b7e62628022d509b11bac52fc7a1a8e..4e81d391695fcc5e46e54a388f992edd95b50070 100644
--- a/src/lib_gossipsub/peers_score.ml
+++ b/src/lib_gossipsub/peers_score.ml
@@ -178,7 +178,11 @@ struct
     else 0.0
 
   let float ps =
-    let topic_scores = topic_scores ps in
+    let topic_scores =
+      match ps.parameters.topic_score_cap with
+      | None -> topic_scores ps
+      | Some cap -> Float.min cap (topic_scores ps)
+    in
     let p5 = p5 ps in
     let p7 = p7 ps in
     topic_scores +. p5 +. p7
diff --git a/src/lib_gossipsub/test/test_gossipsub.ml b/src/lib_gossipsub/test/test_gossipsub.ml
index 9a1067f074909b52158d5b05d720a98df6e1339c..458cc6fb834f888865ecb03ef8751d18a8f80819 100644
--- a/src/lib_gossipsub/test/test_gossipsub.ml
+++ b/src/lib_gossipsub/test/test_gossipsub.ml
@@ -51,6 +51,7 @@ let per_topic_score_parameters =
 let score_parameters =
   {
     topics = per_topic_score_parameters;
+    topic_score_cap = Some 3600.;
     behaviour_penalty_weight = ~-.10.0;
     behaviour_penalty_threshold = 0.0;
     behaviour_penalty_decay = 0.2;
diff --git a/src/lib_gossipsub/tezos_gossipsub.ml b/src/lib_gossipsub/tezos_gossipsub.ml
index da5dedf0dbd129fca5965a34b909ca9fa1de7490..6e88f1ab12b63ffdb83507657787bf7d33cf5f7d 100644
--- a/src/lib_gossipsub/tezos_gossipsub.ml
+++ b/src/lib_gossipsub/tezos_gossipsub.ml
@@ -260,6 +260,7 @@ module Make (C : AUTOMATON_CONFIG) :
     | Topic_score_parameters_family {all_topics; parameters; weights = _} ->
         Seq.map parameters all_topics
         |> Seq.iter check_per_topic_score_parameters) ;
+    Option.iter (fun cap -> assert (cap >= 0.0)) sp.topic_score_cap ;
     assert (sp.behaviour_penalty_weight <= 0.0) ;
     assert (sp.behaviour_penalty_threshold >= 0.0) ;
     assert_in_unit_interval sp.behaviour_penalty_decay ;