diff --git a/BGL/include/CGAL/boost/graph/internal/helpers.h b/BGL/include/CGAL/boost/graph/internal/helpers.h
index 154f2116e76..aeebc9347b7 100644
--- a/BGL/include/CGAL/boost/graph/internal/helpers.h
+++ b/BGL/include/CGAL/boost/graph/internal/helpers.h
@@ -196,7 +196,7 @@ adjust_incoming_halfedge(typename boost::graph_traits<Graph>::vertex_descriptor
     }
     do
     {
-      if(is_border(h, g))
+      if(face(h, g)==boost::graph_traits<Graph>::null_face())
       {
         set_halfedge(v, h, g);
         return;