diff --git a/plugin/build.gradle b/plugin/build.gradle
index 87c63841ee0..bd782bf7477 100644
--- a/plugin/build.gradle
+++ b/plugin/build.gradle
@@ -307,7 +307,7 @@ project.afterEvaluate {
 
 integTestRunner {
   // TODO: fix this rest test to not depend on a hardcoded port!
-  systemProperty 'tests.rest.blacklist', 'getting_started/10_monitor_cluster_health/*,bulk/10_basic/*,ml/index_layout/Test CRUD on two jobs in shared index,ml/index_layout/Test unrelated index'
+  systemProperty 'tests.rest.blacklist', 'getting_started/10_monitor_cluster_health/*,bulk/10_basic/*'
 }
 
 integTestCluster {
diff --git a/plugin/src/test/java/org/elasticsearch/xpack/ml/integration/DeleteExpiredDataIT.java b/plugin/src/test/java/org/elasticsearch/xpack/ml/integration/DeleteExpiredDataIT.java
index 142b7e28d0a..94ac8c421ac 100644
--- a/plugin/src/test/java/org/elasticsearch/xpack/ml/integration/DeleteExpiredDataIT.java
+++ b/plugin/src/test/java/org/elasticsearch/xpack/ml/integration/DeleteExpiredDataIT.java
@@ -118,7 +118,6 @@ public class DeleteExpiredDataIT extends SecurityIntegTestCase {
         }
     }
 
-    @AwaitsFix(bugUrl = "https://github.com/elastic/x-pack-elasticsearch/issues/771")
     public void testDeleteExpiredData() throws Exception {
         jobs.add(newJobBuilder("no-retention").setResultsRetentionDays(null).setModelSnapshotRetentionDays(null).build());
         jobs.add(newJobBuilder("results-retention").setResultsRetentionDays(1L).setModelSnapshotRetentionDays(null).build());