diff --git a/muted-tests.yml b/muted-tests.yml
index 9410cd9242885..4716696c7a6fa 100644
--- a/muted-tests.yml
+++ b/muted-tests.yml
@@ -348,9 +348,9 @@ tests:
 - class: org.elasticsearch.xpack.test.rest.XPackRestIT
   method: test {p0=ml/start_data_frame_analytics/Test start given dest index is not empty}
   issue: https://github.com/elastic/elasticsearch/issues/125909
-- class: org.elasticsearch.xpack.esql.action.ManyShardsIT
-  method: testCancelUnnecessaryRequests
-  issue: https://github.com/elastic/elasticsearch/issues/125947
+- class: org.elasticsearch.indices.stats.IndexStatsIT
+  method: testThrottleStats
+  issue: https://github.com/elastic/elasticsearch/issues/125910
 - class: org.elasticsearch.xpack.ilm.actions.SearchableSnapshotActionIT
   method: testResumingSearchableSnapshotFromPartialToFull
   issue: https://github.com/elastic/elasticsearch/issues/125789
diff --git a/x-pack/plugin/esql/src/internalClusterTest/java/org/elasticsearch/xpack/esql/action/ManyShardsIT.java b/x-pack/plugin/esql/src/internalClusterTest/java/org/elasticsearch/xpack/esql/action/ManyShardsIT.java
index f17eb18e0c371..510c11d11f17c 100644
--- a/x-pack/plugin/esql/src/internalClusterTest/java/org/elasticsearch/xpack/esql/action/ManyShardsIT.java
+++ b/x-pack/plugin/esql/src/internalClusterTest/java/org/elasticsearch/xpack/esql/action/ManyShardsIT.java
@@ -25,6 +25,7 @@
 import org.elasticsearch.rest.RestStatus;
 import org.elasticsearch.search.MockSearchService;
 import org.elasticsearch.search.SearchService;
+import org.elasticsearch.test.junit.annotations.TestIssueLogging;
 import org.elasticsearch.test.transport.MockTransportService;
 import org.elasticsearch.transport.RemoteTransportException;
 import org.elasticsearch.transport.TransportChannel;
@@ -260,6 +261,10 @@ public void testLimitConcurrentShards() {
         }
     }
 
+    @TestIssueLogging(
+        issueUrl = "https://github.com/elastic/elasticsearch/issues/125947",
+        value = "logger.org.elasticsearch.cluster.routing.allocation.ShardChangesObserver:TRACE"
+    )
     public void testCancelUnnecessaryRequests() {
         assumeTrue("Requires pragmas", canUseQueryPragmas());
         internalCluster().ensureAtLeastNumDataNodes(3);