diff --git a/muted-tests.yml b/muted-tests.yml
index b026cc6a4128b..72ccad9014271 100644
--- a/muted-tests.yml
+++ b/muted-tests.yml
@@ -361,9 +361,6 @@ tests:
 - class: org.elasticsearch.smoketest.DocsClientYamlTestSuiteIT
   method: test {yaml=reference/cat/health/cat-health-no-timestamp-example}
   issue: https://github.com/elastic/elasticsearch/issues/121867
-- class: org.elasticsearch.xpack.searchablesnapshots.FrozenSearchableSnapshotsIntegTests
-  method: testCreateAndRestorePartialSearchableSnapshot
-  issue: https://github.com/elastic/elasticsearch/issues/121927
 - class: org.elasticsearch.analysis.common.CommonAnalysisClientYamlTestSuiteIT
   method: test {yaml=analysis-common/40_token_filters/stemmer_override file access}
   issue: https://github.com/elastic/elasticsearch/issues/121625
diff --git a/x-pack/plugin/searchable-snapshots/src/main/java/org/elasticsearch/xpack/searchablesnapshots/cache/full/CacheService.java b/x-pack/plugin/searchable-snapshots/src/main/java/org/elasticsearch/xpack/searchablesnapshots/cache/full/CacheService.java
index 2d8d78473501c..a02c32cd56d94 100644
--- a/x-pack/plugin/searchable-snapshots/src/main/java/org/elasticsearch/xpack/searchablesnapshots/cache/full/CacheService.java
+++ b/x-pack/plugin/searchable-snapshots/src/main/java/org/elasticsearch/xpack/searchablesnapshots/cache/full/CacheService.java
@@ -245,7 +245,11 @@ private void ensureLifecycleStarted() {
         final Lifecycle.State state = lifecycleState();
         assert state != Lifecycle.State.INITIALIZED : state;
         if (state != Lifecycle.State.STARTED) {
-            throw new IllegalStateException("Failed to read data from cache: cache service is not started [" + state + "]");
+            if (state == Lifecycle.State.STOPPED) {
+                throw new AlreadyClosedException("Failed to read data from cache: cache service is stopped");
+            } else {
+                throw new IllegalStateException("Failed to read data from cache: cache service is not started [" + state + "]");
+            }
         }
     }