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 e56491bdb5764..27fba82338a1c 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
@@ -222,6 +222,7 @@ public XContentBuilder toXContent(XContentBuilder builder, Params params) throws
         }
     }
 
+    @AwaitsFix( bugUrl = "https://github.com/elastic/elasticsearch/issues/42084")
     public void testStateMachine() throws Exception {
         AtomicReference<IndexerState> state = new AtomicReference<>(IndexerState.STOPPED);
         final ExecutorService executor = Executors.newFixedThreadPool(1);
@@ -264,6 +265,7 @@ public void testStateMachineBrokenSearch() throws InterruptedException {
         }
     }
 
+    @AwaitsFix( bugUrl = "https://github.com/elastic/elasticsearch/issues/42084")
     public void testStop_AfterIndexerIsFinished() throws InterruptedException {
         AtomicReference<IndexerState> state = new AtomicReference<>(IndexerState.STOPPED);
         final ExecutorService executor = Executors.newFixedThreadPool(1);
@@ -283,6 +285,7 @@ public void testStop_AfterIndexerIsFinished() throws InterruptedException {
         }
     }
 
+    @AwaitsFix( bugUrl = "https://github.com/elastic/elasticsearch/issues/42084")
     public void testStop_WhileIndexing() throws InterruptedException {
         AtomicReference<IndexerState> state = new AtomicReference<>(IndexerState.STOPPED);
         final ExecutorService executor = Executors.newFixedThreadPool(1);