diff --git a/server/src/test/java/org/elasticsearch/action/support/ListenableActionFutureTests.java b/server/src/test/java/org/elasticsearch/action/support/ListenableActionFutureTests.java
index 1ebd7fab99f9e..a9f62d0e439e8 100644
--- a/server/src/test/java/org/elasticsearch/action/support/ListenableActionFutureTests.java
+++ b/server/src/test/java/org/elasticsearch/action/support/ListenableActionFutureTests.java
@@ -68,7 +68,6 @@ protected void doRun() {
         }
     }
 
-    @AwaitsFix(bugUrl = "https://github.com/elastic/elasticsearch/issues/68772")
     public void testListenersNotifiedOnCorrectThreads() throws InterruptedException {
 
         final int adderThreads = between(1, 5);
@@ -90,7 +89,10 @@ public void testListenersNotifiedOnCorrectThreads() throws InterruptedException
                     awaitSafe(barrier);
 
                     final AtomicBoolean isComplete = new AtomicBoolean();
-                    if (postComplete.get()) {
+                    if (completerThreads == 1 && postComplete.get()) {
+                        // If there are multiple completer threads then onResponse might return on one thread, and hence postComplete is
+                        // set, before the other completer thread notifies all the listeners. OTOH with one completer thread we know that
+                        // postComplete indicates that the listeners were already notified.
                         future.addListener(new ActionListener<Void>() {
                             @Override
                             public void onResponse(Void response) {