diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/compute_normal.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/compute_normal.h
index dd77b2e9843..d1bf35fc630 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/compute_normal.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/compute_normal.h
@@ -516,6 +516,9 @@ compute_vertex_normal_most_visible_min_circle(typename boost::graph_traits<Polyg
     if(f == boost::graph_traits<PolygonMesh>::null_face())
       continue;
 
+    if((! incident_faces.empty()) && (get(face_normals, incident_faces.back()) == get(face_normals, f)) )
+      continue;
+
     incident_faces.push_back(f);
   }