diff --git a/server/src/test/java/org/opensearch/search/query/QueryProfilePhaseTests.java b/server/src/test/java/org/opensearch/search/query/QueryProfilePhaseTests.java
index 28af8a63cfba8..d72d823963377 100644
--- a/server/src/test/java/org/opensearch/search/query/QueryProfilePhaseTests.java
+++ b/server/src/test/java/org/opensearch/search/query/QueryProfilePhaseTests.java
@@ -1066,6 +1066,10 @@ public void testIndexSortScrollOptimization() throws Exception {
     }
 
     public void testDisableTopScoreCollection() throws Exception {
+        assumeFalse(
+            "Concurrent search case muted pending fix: https://github.com/opensearch-project/OpenSearch/issues/10469",
+            executor != null
+        );
         Directory dir = newDirectory();
         IndexWriterConfig iwc = newIndexWriterConfig(new StandardAnalyzer());
         RandomIndexWriter w = new RandomIndexWriter(random(), dir, iwc);
@@ -1237,6 +1241,10 @@ public void testMinScore() throws Exception {
     }
 
     public void testMaxScore() throws Exception {
+        assumeFalse(
+            "Concurrent search case muted pending fix: https://github.com/opensearch-project/OpenSearch/issues/9932",
+            executor != null
+        );
         Directory dir = newDirectory();
         final Sort sort = new Sort(new SortField("filter", SortField.Type.STRING));
         IndexWriterConfig iwc = newIndexWriterConfig().setIndexSort(sort);
@@ -1356,6 +1364,10 @@ public void testMaxScore() throws Exception {
     }
 
     public void testCollapseQuerySearchResults() throws Exception {
+        assumeFalse(
+            "Concurrent search case muted pending fix: https://github.com/opensearch-project/OpenSearch/issues/10139",
+            executor != null
+        );
         Directory dir = newDirectory();
         final Sort sort = new Sort(new SortField("user", SortField.Type.INT));
         IndexWriterConfig iwc = newIndexWriterConfig().setIndexSort(sort);