diff --git a/src/main/java/org/opensearch/knn/common/KNNConstants.java b/src/main/java/org/opensearch/knn/common/KNNConstants.java
index 69a2bc806..7d872d60f 100644
--- a/src/main/java/org/opensearch/knn/common/KNNConstants.java
+++ b/src/main/java/org/opensearch/knn/common/KNNConstants.java
@@ -133,4 +133,6 @@ public class KNNConstants {
     // Please refer this github issue for more details for choosing this value:
     // https://github.com/opensearch-project/k-NN/issues/1049#issuecomment-1694741092
     public static int MAX_DISTANCE_COMPUTATIONS = 2048000;
+
+    public static final Float DEFAULT_LUCENE_RADIAL_SEARCH_TRAVERSAL_SIMILARITY_RATIO = 0.95f;
 }
diff --git a/src/main/java/org/opensearch/knn/index/query/RNNQueryFactory.java b/src/main/java/org/opensearch/knn/index/query/RNNQueryFactory.java
index cd32ac4f3..db8084864 100644
--- a/src/main/java/org/opensearch/knn/index/query/RNNQueryFactory.java
+++ b/src/main/java/org/opensearch/knn/index/query/RNNQueryFactory.java
@@ -5,6 +5,7 @@
 
 package org.opensearch.knn.index.query;
 
+import static org.opensearch.knn.common.KNNConstants.DEFAULT_LUCENE_RADIAL_SEARCH_TRAVERSAL_SIMILARITY_RATIO;
 import static org.opensearch.knn.common.KNNConstants.VECTOR_DATA_TYPE_FIELD;
 import static org.opensearch.knn.index.VectorDataType.SUPPORTED_VECTOR_DATA_TYPES;
 
@@ -118,7 +119,13 @@ private static Query getFloatVectorSimilarityQuery(
         final float resultSimilarity,
         final Query filterQuery
     ) {
-        return new FloatVectorSimilarityQuery(fieldName, floatVector, resultSimilarity, filterQuery);
+        return new FloatVectorSimilarityQuery(
+            fieldName,
+            floatVector,
+            DEFAULT_LUCENE_RADIAL_SEARCH_TRAVERSAL_SIMILARITY_RATIO * resultSimilarity,
+            resultSimilarity,
+            filterQuery
+        );
     }
 
     /**
@@ -131,6 +138,12 @@ private static Query getByteVectorSimilarityQuery(
         final float resultSimilarity,
         final Query filterQuery
     ) {
-        return new ByteVectorSimilarityQuery(fieldName, byteVector, resultSimilarity, filterQuery);
+        return new ByteVectorSimilarityQuery(
+            fieldName,
+            byteVector,
+            DEFAULT_LUCENE_RADIAL_SEARCH_TRAVERSAL_SIMILARITY_RATIO * resultSimilarity,
+            resultSimilarity,
+            filterQuery
+        );
     }
 }
diff --git a/src/test/java/org/opensearch/knn/index/query/KNNQueryBuilderTests.java b/src/test/java/org/opensearch/knn/index/query/KNNQueryBuilderTests.java
index 1922e5a08..134a5ab76 100644
--- a/src/test/java/org/opensearch/knn/index/query/KNNQueryBuilderTests.java
+++ b/src/test/java/org/opensearch/knn/index/query/KNNQueryBuilderTests.java
@@ -52,6 +52,7 @@
 import static org.mockito.Mockito.anyString;
 import static org.mockito.Mockito.mock;
 import static org.mockito.Mockito.when;
+import static org.opensearch.knn.common.KNNConstants.DEFAULT_LUCENE_RADIAL_SEARCH_TRAVERSAL_SIMILARITY_RATIO;
 import static org.opensearch.knn.common.KNNConstants.METHOD_HNSW;
 import static org.opensearch.knn.index.KNNClusterTestUtils.mockClusterService;
 import static org.opensearch.knn.index.util.KNNEngine.ENGINES_SUPPORTING_RADIAL_SEARCH;
@@ -394,7 +395,12 @@ public void testDoToQuery_whenNormal_whenDoRadiusSearch_whenDistanceThreshold_th
         KNNMethodContext knnMethodContext = new KNNMethodContext(KNNEngine.LUCENE, SpaceType.L2, methodComponentContext);
         when(mockKNNVectorField.getKnnMethodContext()).thenReturn(knnMethodContext);
         FloatVectorSimilarityQuery query = (FloatVectorSimilarityQuery) knnQueryBuilder.doToQuery(mockQueryShardContext);
-        assertTrue(query.toString().contains("resultSimilarity=" + KNNEngine.LUCENE.distanceToRadialThreshold(MAX_DISTANCE, SpaceType.L2)));
+        float resultSimilarity = KNNEngine.LUCENE.distanceToRadialThreshold(MAX_DISTANCE, SpaceType.L2);
+
+        assertTrue(query.toString().contains("resultSimilarity=" + resultSimilarity));
+        assertTrue(
+            query.toString().contains("traversalSimilarity=" + DEFAULT_LUCENE_RADIAL_SEARCH_TRAVERSAL_SIMILARITY_RATIO * resultSimilarity)
+        );
     }
 
     public void testDoToQuery_whenNormal_whenDoRadiusSearch_whenScoreThreshold_thenSucceed() {