diff --git a/server/src/internalClusterTest/java/org/elasticsearch/cluster/ClusterHealthIT.java b/server/src/internalClusterTest/java/org/elasticsearch/cluster/ClusterHealthIT.java
index bb679e61252..c4df379b372 100644
--- a/server/src/internalClusterTest/java/org/elasticsearch/cluster/ClusterHealthIT.java
+++ b/server/src/internalClusterTest/java/org/elasticsearch/cluster/ClusterHealthIT.java
@@ -26,6 +26,7 @@ import org.elasticsearch.action.support.IndicesOptions;
 import org.elasticsearch.action.support.PlainActionFuture;
 import org.elasticsearch.cluster.health.ClusterHealthStatus;
 import org.elasticsearch.cluster.metadata.IndexMetadata;
+import org.elasticsearch.cluster.routing.UnassignedInfo;
 import org.elasticsearch.cluster.service.ClusterService;
 import org.elasticsearch.common.Priority;
 import org.elasticsearch.common.settings.Settings;
@@ -308,21 +309,26 @@ public class ClusterHealthIT extends ESIntegTestCase {
         }
     }
 
-    @AwaitsFix(bugUrl = "https://github.com/elastic/elasticsearch/issues/62690")
     public void testHealthOnMasterFailover() throws Exception {
         final String node = internalCluster().startDataOnlyNode();
-        boolean withIndex = randomBoolean();
+        final boolean withIndex = randomBoolean();
         if (withIndex) {
             // Create index with many shards to provoke the health request to wait (for green) while master is being shut down.
             // Notice that this is set to 0 after the test completed starting a number of health requests and master restarts.
             // This ensures that the cluster is yellow when the health request is made, making the health request wait on the observer,
             // triggering a call to observer.onClusterServiceClose when master is shutdown.
-            createIndex("test", Settings.builder().put(IndexMetadata.SETTING_NUMBER_OF_REPLICAS, randomIntBetween(0, 10)).build());
+            createIndex("test",
+                Settings.builder()
+                .put(IndexMetadata.SETTING_NUMBER_OF_REPLICAS, randomIntBetween(0, 10))
+                    // avoid full recoveries of index, just wait for replica to reappear
+                .put(UnassignedInfo.INDEX_DELAYED_NODE_LEFT_TIMEOUT_SETTING.getKey(), "5m")
+                .build());
         }
         final List<ActionFuture<ClusterHealthResponse>> responseFutures = new ArrayList<>();
         // Run a few health requests concurrent to master fail-overs against a data-node to make sure master failover is handled
         // without exceptions
-        for (int i = 0; i < 20; ++i) {
+        final int iterations = withIndex ? 10 : 20;
+        for (int i = 0; i < iterations; ++i) {
             responseFutures.add(client(node).admin().cluster().prepareHealth().setWaitForEvents(Priority.LANGUID)
                 .setWaitForGreenStatus().setMasterNodeTimeout(TimeValue.timeValueMinutes(1)).execute());
             internalCluster().restartNode(internalCluster().getMasterName(), InternalTestCluster.EMPTY_CALLBACK);