diff --git a/Surface_mesh_topology/include/CGAL/Curves_on_surface_topology.h b/Surface_mesh_topology/include/CGAL/Curves_on_surface_topology.h
index c06f37a0efd..b9fa07ac91a 100644
--- a/Surface_mesh_topology/include/CGAL/Curves_on_surface_topology.h
+++ b/Surface_mesh_topology/include/CGAL/Curves_on_surface_topology.h
@@ -82,8 +82,8 @@ public:
         new internal::Minimal_quadrangulation<Mesh>(m_original_map, display_time);
     }
 
-    return m_minimal_quadrangulation->are_freely_homotopic(p1, p2,
-                                                           display_time);
+    return m_minimal_quadrangulation->are_base_point_homotopic(p1, p2,
+                                                               display_time);
   }
 
   bool is_minimal_quadrangulation_computed() const