diff --git a/Surface_sweep_2/include/CGAL/Surface_sweep_2.h b/Surface_sweep_2/include/CGAL/Surface_sweep_2.h
index 1e3ec6edf75..2b9329a8476 100644
--- a/Surface_sweep_2/include/CGAL/Surface_sweep_2.h
+++ b/Surface_sweep_2/include/CGAL/Surface_sweep_2.h
@@ -222,7 +222,7 @@ protected:
    * \param c2 The second curve.
    */
   void _create_intersection_point(const Point_2& xp,
-                                  unsigned int mult,
+                                  Multiplicity mult,
                                   Subcurve*& c1,
                                   Subcurve*& c2);
 };
diff --git a/Surface_sweep_2/include/CGAL/Surface_sweep_2/Surface_sweep_2_impl.h b/Surface_sweep_2/include/CGAL/Surface_sweep_2/Surface_sweep_2_impl.h
index de98db8e9a0..59f8134dc25 100644
--- a/Surface_sweep_2/include/CGAL/Surface_sweep_2/Surface_sweep_2_impl.h
+++ b/Surface_sweep_2/include/CGAL/Surface_sweep_2/Surface_sweep_2_impl.h
@@ -773,7 +773,7 @@ void Surface_sweep_2<Vis>::_intersect(Subcurve* c1, Subcurve* c2,
 //
 template <typename Vis>
 void Surface_sweep_2<Vis>::_create_intersection_point(const Point_2& xp,
-                                                      unsigned int multiplicity,
+                                                      Multiplicity multiplicity,
                                                       Subcurve*& c1,
                                                       Subcurve*& c2)
 {