diff --git a/x-pack/plugin/monitoring/src/test/java/org/elasticsearch/xpack/monitoring/action/TransportMonitoringMigrateAlertsActionTests.java b/x-pack/plugin/monitoring/src/test/java/org/elasticsearch/xpack/monitoring/action/TransportMonitoringMigrateAlertsActionTests.java
index 92a98f8a83d87..29a82517ddd8b 100644
--- a/x-pack/plugin/monitoring/src/test/java/org/elasticsearch/xpack/monitoring/action/TransportMonitoringMigrateAlertsActionTests.java
+++ b/x-pack/plugin/monitoring/src/test/java/org/elasticsearch/xpack/monitoring/action/TransportMonitoringMigrateAlertsActionTests.java
@@ -186,6 +186,7 @@ public void testRepeatedLocalAlertsRemoval() throws Exception {
         }
     }
 
+    @AwaitsFix(bugUrl = "https://github.com/elastic/elasticsearch/issues/66586")
     public void testDisabledLocalExporterAlertsRemoval() throws Exception {
         try {
             // start monitoring service
@@ -228,6 +229,7 @@ public void testDisabledLocalExporterAlertsRemoval() throws Exception {
         }
     }
 
+    @AwaitsFix(bugUrl = "https://github.com/elastic/elasticsearch/issues/66586")
     public void testLocalExporterWithAlertingDisabled() throws Exception {
         try {
             // start monitoring service