diff --git a/muted-tests.yml b/muted-tests.yml
index ee13681a241a9..f78858ee70920 100644
--- a/muted-tests.yml
+++ b/muted-tests.yml
@@ -524,9 +524,6 @@ tests:
 - class: org.elasticsearch.search.query.VectorIT
   method: testFilteredQueryStrategy
   issue: https://github.com/elastic/elasticsearch/issues/129517
-- class: org.elasticsearch.snapshots.SnapshotShutdownIT
-  method: testSnapshotShutdownProgressTracker
-  issue: https://github.com/elastic/elasticsearch/issues/129752
 - class: org.elasticsearch.xpack.security.SecurityRolesMultiProjectIT
   method: testUpdatingFileBasedRoleAffectsAllProjects
   issue: https://github.com/elastic/elasticsearch/issues/129775
diff --git a/server/src/main/java/org/elasticsearch/snapshots/SnapshotShardsService.java b/server/src/main/java/org/elasticsearch/snapshots/SnapshotShardsService.java
index d49b670451f5b..3fd5a226936ac 100644
--- a/server/src/main/java/org/elasticsearch/snapshots/SnapshotShardsService.java
+++ b/server/src/main/java/org/elasticsearch/snapshots/SnapshotShardsService.java
@@ -411,6 +411,7 @@ private void startNewShardSnapshots(String localNodeId, SnapshotsInProgress.Entr
                 entry.version(),
                 entry.startTime()
             );
+            snapshotStatus.updateStatusDescription("shard snapshot enqueuing to start");
             startShardSnapshotTaskRunner.enqueueTask(new ActionListener<>() {
                 @Override
                 public void onResponse(Releasable releasable) {
@@ -429,7 +430,6 @@ public void onFailure(Exception e) {
                     assert false : wrapperException; // impossible
                 }
             });
-            snapshotStatus.updateStatusDescription("shard snapshot enqueued to start");
         }
 
         // apply some backpressure by reserving one SNAPSHOT thread for the startup work