diff --git a/server/src/internalClusterTest/java/org/opensearch/search/aggregations/bucket/DiversifiedSamplerIT.java b/server/src/internalClusterTest/java/org/opensearch/search/aggregations/bucket/DiversifiedSamplerIT.java
index 5e95073209c71..865dd670fbf68 100644
--- a/server/src/internalClusterTest/java/org/opensearch/search/aggregations/bucket/DiversifiedSamplerIT.java
+++ b/server/src/internalClusterTest/java/org/opensearch/search/aggregations/bucket/DiversifiedSamplerIT.java
@@ -221,6 +221,10 @@ public void testNestedDiversity() throws Exception {
     }
 
     public void testNestedSamples() throws Exception {
+        assumeFalse(
+            "Concurrent search case muted pending fix: https://github.com/opensearch-project/OpenSearch/issues/10046",
+            internalCluster().clusterService().getClusterSettings().get(CLUSTER_CONCURRENT_SEGMENT_SEARCH_SETTING)
+        );
         // Test samples nested under samples
         int MAX_DOCS_PER_AUTHOR = 1;
         int MAX_DOCS_PER_GENRE = 2;
diff --git a/server/src/internalClusterTest/java/org/opensearch/search/fetch/subphase/highlight/HighlighterSearchIT.java b/server/src/internalClusterTest/java/org/opensearch/search/fetch/subphase/highlight/HighlighterSearchIT.java
index 4cdf5ae8e674f..42d91ac945662 100644
--- a/server/src/internalClusterTest/java/org/opensearch/search/fetch/subphase/highlight/HighlighterSearchIT.java
+++ b/server/src/internalClusterTest/java/org/opensearch/search/fetch/subphase/highlight/HighlighterSearchIT.java
@@ -3343,6 +3343,10 @@ public void testFiltersFunctionScoreQueryHighlight() throws Exception {
     }
 
     public void testHighlightQueryRewriteDatesWithNow() throws Exception {
+        assumeFalse(
+            "Concurrent search case muted pending fix: https://github.com/opensearch-project/OpenSearch/issues/10434",
+            internalCluster().clusterService().getClusterSettings().get(CLUSTER_CONCURRENT_SEGMENT_SEARCH_SETTING)
+        );
         assertAcked(
             client().admin()
                 .indices()
diff --git a/server/src/internalClusterTest/java/org/opensearch/search/fieldcaps/FieldCapabilitiesIT.java b/server/src/internalClusterTest/java/org/opensearch/search/fieldcaps/FieldCapabilitiesIT.java
index f5d1b8234558e..6b95405b3ebd4 100644
--- a/server/src/internalClusterTest/java/org/opensearch/search/fieldcaps/FieldCapabilitiesIT.java
+++ b/server/src/internalClusterTest/java/org/opensearch/search/fieldcaps/FieldCapabilitiesIT.java
@@ -244,6 +244,10 @@ public void testWithIndexAlias() {
     }
 
     public void testWithIndexFilter() throws InterruptedException {
+        assumeFalse(
+            "Concurrent search case muted pending fix: https://github.com/opensearch-project/OpenSearch/issues/10433",
+            internalCluster().clusterService().getClusterSettings().get(CLUSTER_CONCURRENT_SEGMENT_SEARCH_SETTING)
+        );
         assertAcked(prepareCreate("index-1").setMapping("timestamp", "type=date", "field1", "type=keyword"));
         assertAcked(prepareCreate("index-2").setMapping("timestamp", "type=date", "field1", "type=long"));
 
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 fc77c1b356124..a3a8d90487bb3 100644
--- a/server/src/test/java/org/opensearch/search/query/QueryProfilePhaseTests.java
+++ b/server/src/test/java/org/opensearch/search/query/QueryProfilePhaseTests.java
@@ -1237,6 +1237,10 @@ 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 +1360,10 @@ 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);