diff --git a/Arrangement_on_surface_2/include/CGAL/draw_arrangement_2.h b/Arrangement_on_surface_2/include/CGAL/draw_arrangement_2.h
index b43177b5895..9daa24b371b 100644
--- a/Arrangement_on_surface_2/include/CGAL/draw_arrangement_2.h
+++ b/Arrangement_on_surface_2/include/CGAL/draw_arrangement_2.h
@@ -149,9 +149,11 @@ public:
     // std::cout << "add_face()\n";
     for(Inner_ccb_const_iterator it = face->inner_ccbs_begin(); it != face->inner_ccbs_end(); ++it) add_ccb(*it);
 
-    for(Outer_ccb_const_iterator it = face->outer_ccbs_begin(); it != face->outer_ccbs_end(); ++it) {
-      add_ccb(*it);
-      draw_region(*it);
+    if (! face->is_unbounded()) {
+      for(Outer_ccb_const_iterator it = face->outer_ccbs_begin(); it != face->outer_ccbs_end(); ++it) {
+        add_ccb(*it);
+        draw_region(*it);
+      }
     }
   }