diff --git a/modules/lang-expression/src/internalClusterTest/java/org/opensearch/script/expression/MoreExpressionIT.java b/modules/lang-expression/src/internalClusterTest/java/org/opensearch/script/expression/MoreExpressionIT.java
index bb2f652168d5c..8ca28a905f216 100644
--- a/modules/lang-expression/src/internalClusterTest/java/org/opensearch/script/expression/MoreExpressionIT.java
+++ b/modules/lang-expression/src/internalClusterTest/java/org/opensearch/script/expression/MoreExpressionIT.java
@@ -504,10 +504,6 @@ public void testInvalidFieldMember() {
     }
 
     public void testSpecialValueVariable() throws Exception {
-        assumeFalse(
-            "Concurrent search case muted pending fix: https://github.com/opensearch-project/OpenSearch/issues/10079",
-            internalCluster().clusterService().getClusterSettings().get(CLUSTER_CONCURRENT_SEGMENT_SEARCH_SETTING)
-        );
         // i.e. _value for aggregations
         createIndex("test");
         ensureGreen("test");
diff --git a/modules/lang-expression/src/main/java/org/opensearch/script/expression/ReplaceableConstDoubleValueSource.java b/modules/lang-expression/src/main/java/org/opensearch/script/expression/ReplaceableConstDoubleValueSource.java
index 28e4707a07192..8c55658dfe08a 100644
--- a/modules/lang-expression/src/main/java/org/opensearch/script/expression/ReplaceableConstDoubleValueSource.java
+++ b/modules/lang-expression/src/main/java/org/opensearch/script/expression/ReplaceableConstDoubleValueSource.java
@@ -39,20 +39,25 @@
 import org.apache.lucene.search.IndexSearcher;
 
 import java.io.IOException;
+import java.util.Map;
+import java.util.concurrent.ConcurrentHashMap;
 
 /**
- * A {@link DoubleValuesSource} which has a stub {@link DoubleValues} that holds a dynamically replaceable constant double.
+ * A {@link DoubleValuesSource} which has a stub {@link DoubleValues} that holds a dynamically replaceable constant double. This is made
+ * thread-safe for concurrent segment search use case by keeping the {@link DoubleValues} per thread. Any update to the value happens in
+ * thread specific {@link DoubleValuesSource} instance.
  */
 final class ReplaceableConstDoubleValueSource extends DoubleValuesSource {
-    final ReplaceableConstDoubleValues fv;
+    // Multiple slices can be processed by same thread but that will be sequential, so keeping per thread is fine
+    final Map<Long, ReplaceableConstDoubleValues> perThreadDoubleValues;
 
     ReplaceableConstDoubleValueSource() {
-        fv = new ReplaceableConstDoubleValues();
+        perThreadDoubleValues = new ConcurrentHashMap<>();
     }
 
     @Override
     public DoubleValues getValues(LeafReaderContext ctx, DoubleValues scores) throws IOException {
-        return fv;
+        return perThreadDoubleValues.computeIfAbsent(Thread.currentThread().getId(), threadId -> new ReplaceableConstDoubleValues());
     }
 
     @Override
@@ -62,7 +67,9 @@ public boolean needsScores() {
 
     @Override
     public Explanation explain(LeafReaderContext ctx, int docId, Explanation scoreExplanation) throws IOException {
-        if (fv.advanceExact(docId)) return Explanation.match((float) fv.doubleValue(), "ReplaceableConstDoubleValues");
+        final ReplaceableConstDoubleValues currentFv = perThreadDoubleValues.computeIfAbsent(Thread.currentThread().getId(), threadId -> new ReplaceableConstDoubleValues());
+        if (currentFv.advanceExact(docId)) return Explanation.match((float) currentFv.doubleValue(),
+            "ReplaceableConstDoubleValues");
         else return Explanation.noMatch("ReplaceableConstDoubleValues");
     }
 
@@ -77,7 +84,8 @@ public int hashCode() {
     }
 
     public void setValue(double v) {
-        fv.setValue(v);
+        final ReplaceableConstDoubleValues currentFv = perThreadDoubleValues.computeIfAbsent(Thread.currentThread().getId(), threadId -> new ReplaceableConstDoubleValues());
+        currentFv.setValue(v);
     }
 
     @Override