diff --git a/muted-tests.yml b/muted-tests.yml
index fe9d972ce5e5f..400243b1eae2c 100644
--- a/muted-tests.yml
+++ b/muted-tests.yml
@@ -283,6 +283,9 @@ tests:
 - class: org.elasticsearch.xpack.esql.qa.multi_node.EsqlSpecIT
   method: test {categorize.Categorize SYNC}
   issue: https://github.com/elastic/elasticsearch/issues/113054
+- class: org.elasticsearch.xpack.esql.qa.multi_node.EsqlSpecIT
+  method: test {categorize.Categorize ASYNC}
+  issue: https://github.com/elastic/elasticsearch/issues/113054
 - class: org.elasticsearch.ingest.common.IngestCommonClientYamlTestSuiteIT
   method: test {yaml=ingest/310_reroute_processor/Test remove then add reroute processor with and without lazy rollover}
   issue: https://github.com/elastic/elasticsearch/issues/116158
@@ -301,6 +304,9 @@ tests:
 - class: org.elasticsearch.xpack.deprecation.DeprecationHttpIT
   method: testDeprecatedSettingsReturnWarnings
   issue: https://github.com/elastic/elasticsearch/issues/108628
+- class: org.elasticsearch.search.basic.SearchWhileRelocatingIT
+  method: testSearchAndRelocateConcurrentlyRandomReplicas
+  issue: https://github.com/elastic/elasticsearch/issues/116145
 
 # Examples:
 #