diff --git a/server/src/test/java/org/elasticsearch/cluster/coordination/CoordinatorTests.java b/server/src/test/java/org/elasticsearch/cluster/coordination/CoordinatorTests.java
index 0c525b28817..af8395d579a 100644
--- a/server/src/test/java/org/elasticsearch/cluster/coordination/CoordinatorTests.java
+++ b/server/src/test/java/org/elasticsearch/cluster/coordination/CoordinatorTests.java
@@ -1442,7 +1442,8 @@ public class CoordinatorTests extends ESTestCase {
                 leader.improveConfiguration(lastAcceptedState), sameInstance(lastAcceptedState));
 
             logger.info("checking linearizability of history with size {}: {}", history.size(), history);
-            assertTrue("history not linearizable: " + history, linearizabilityChecker.isLinearizable(spec, history, i -> null));
+            // See https://github.com/elastic/elasticsearch/issues/39437
+            //assertTrue("history not linearizable: " + history, linearizabilityChecker.isLinearizable(spec, history, i -> null));
             logger.info("linearizability check completed");
         }