diff --git a/x-pack/plugin/ml/qa/native-multi-node-tests/src/javaRestTest/java/org/elasticsearch/xpack/ml/integration/ClassificationIT.java b/x-pack/plugin/ml/qa/native-multi-node-tests/src/javaRestTest/java/org/elasticsearch/xpack/ml/integration/ClassificationIT.java
index 2c3b1522d5bd0..6c6df49afe528 100644
--- a/x-pack/plugin/ml/qa/native-multi-node-tests/src/javaRestTest/java/org/elasticsearch/xpack/ml/integration/ClassificationIT.java
+++ b/x-pack/plugin/ml/qa/native-multi-node-tests/src/javaRestTest/java/org/elasticsearch/xpack/ml/integration/ClassificationIT.java
@@ -484,6 +484,7 @@ public void testWithOnlyTrainingRowsAndTrainingPercentIsFifty_DependentVariableI
             "classification_training_percent_is_50_boolean", BOOLEAN_FIELD, BOOLEAN_FIELD_VALUES, "boolean");
     }
 
+    @AwaitsFix(bugUrl = "https://github.com/elastic/elasticsearch/issues/67581")
     public void testStopAndRestart() throws Exception {
         initialize("classification_stop_and_restart");
         String predictedClassField = KEYWORD_FIELD + "_prediction";
diff --git a/x-pack/plugin/ml/qa/native-multi-node-tests/src/javaRestTest/java/org/elasticsearch/xpack/ml/integration/RegressionIT.java b/x-pack/plugin/ml/qa/native-multi-node-tests/src/javaRestTest/java/org/elasticsearch/xpack/ml/integration/RegressionIT.java
index e2598e02cdf3d..2d5e247b93d5f 100644
--- a/x-pack/plugin/ml/qa/native-multi-node-tests/src/javaRestTest/java/org/elasticsearch/xpack/ml/integration/RegressionIT.java
+++ b/x-pack/plugin/ml/qa/native-multi-node-tests/src/javaRestTest/java/org/elasticsearch/xpack/ml/integration/RegressionIT.java
@@ -265,6 +265,7 @@ public void testWithOnlyTrainingRowsAndTrainingPercentIsFifty() throws Exception
             "Finished analysis");
     }
 
+    @AwaitsFix(bugUrl = "https://github.com/elastic/elasticsearch/issues/67581")
     public void testStopAndRestart() throws Exception {
         initialize("regression_stop_and_restart");
         String predictedClassField = DEPENDENT_VARIABLE_FIELD + "_prediction";