diff --git a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/repair_degeneracies.h b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/repair_degeneracies.h
index 5460d7a9077..7da99a4f1e6 100644
--- a/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/repair_degeneracies.h
+++ b/Polygon_mesh_processing/include/CGAL/Polygon_mesh_processing/repair_degeneracies.h
@@ -1006,11 +1006,12 @@ bool remove_almost_degenerate_faces(const FaceRange& face_range,
           continue;
         }
 
-        if (!accept_change.flip(h))
+        if(!accept_change.flip(h))
         {
 #ifdef CGAL_PMP_DEBUG_REMOVE_DEGENERACIES_EXTRA
           std::cout << "\t Flipping prevented: rejected by user functor" << std::endl;
 #endif
+          next_edges_to_flip.insert(h);
           continue;
         }