diff --git a/x-pack/plugin/core/src/test/java/org/elasticsearch/xpack/core/indexing/AsyncTwoPhaseIndexerTests.java b/x-pack/plugin/core/src/test/java/org/elasticsearch/xpack/core/indexing/AsyncTwoPhaseIndexerTests.java
index 9e79912f851..39a8807c2d5 100644
--- a/x-pack/plugin/core/src/test/java/org/elasticsearch/xpack/core/indexing/AsyncTwoPhaseIndexerTests.java
+++ b/x-pack/plugin/core/src/test/java/org/elasticsearch/xpack/core/indexing/AsyncTwoPhaseIndexerTests.java
@@ -206,6 +206,7 @@ public class AsyncTwoPhaseIndexerTests extends ESTestCase {
         }
     }
 
+    @AwaitsFix( bugUrl = "https://github.com/elastic/elasticsearch/issues/40946")
     public void testStateMachine() throws InterruptedException {
         AtomicReference<IndexerState> state = new AtomicReference<>(IndexerState.STOPPED);
         final ExecutorService executor = Executors.newFixedThreadPool(1);