diff --git a/server/src/test/java/org/elasticsearch/snapshots/SnapshotResiliencyTests.java b/server/src/test/java/org/elasticsearch/snapshots/SnapshotResiliencyTests.java
index b5ea4a821ba..ad551ad590c 100644
--- a/server/src/test/java/org/elasticsearch/snapshots/SnapshotResiliencyTests.java
+++ b/server/src/test/java/org/elasticsearch/snapshots/SnapshotResiliencyTests.java
@@ -98,6 +98,7 @@ import org.elasticsearch.cluster.SnapshotsInProgress;
 import org.elasticsearch.cluster.action.index.MappingUpdatedAction;
 import org.elasticsearch.cluster.action.index.NodeMappingRefreshAction;
 import org.elasticsearch.cluster.action.shard.ShardStateAction;
+import org.elasticsearch.cluster.coordination.AbstractCoordinatorTestCase;
 import org.elasticsearch.cluster.coordination.ClusterBootstrapService;
 import org.elasticsearch.cluster.coordination.CoordinationMetadata.VotingConfiguration;
 import org.elasticsearch.cluster.coordination.CoordinationState;
@@ -910,6 +911,11 @@ public class SnapshotResiliencyTests extends ESTestCase {
     }
 
     private void stabilize() {
+        final long endTime = deterministicTaskQueue.getCurrentTimeMillis() + AbstractCoordinatorTestCase.DEFAULT_STABILISATION_TIME;
+        while (deterministicTaskQueue.getCurrentTimeMillis() < endTime) {
+            deterministicTaskQueue.advanceTime();
+            deterministicTaskQueue.runAllRunnableTasks();
+        }
         runUntil(
             () -> {
                 final Collection<ClusterState> clusterStates =