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 c3d9a972c34dd..a169adce0e8ad 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
@@ -481,6 +481,7 @@ 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 580cc2d41627f..6fe66cf7b12f8 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
@@ -289,6 +289,7 @@ 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";