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 5a8d20591a1..eede6b44447 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
@@ -923,6 +923,10 @@ _create_overlapping_curve(const X_monotone_curve_2& overlap_cv,
   CGAL_SS_PRINT_CURVE(overlap_sc);
   CGAL_SS_PRINT_EOL();
 
+  // add the overlapping curve of the right of the left end
+  _add_curve_to_right(left_event, overlap_sc);
+  right_event->add_curve_to_left(overlap_sc);
+
   // Remove curves from the left curves of the right end
   // and add them on the right otherwise
   if (c1->is_end_point(right_event))
@@ -935,10 +939,6 @@ _create_overlapping_curve(const X_monotone_curve_2& overlap_cv,
   else
     _add_curve_to_right(right_event, c2);
 
-  // add the overlapping curve of the right of the left end
-  _add_curve_to_right(left_event, overlap_sc);
-  right_event->add_curve_to_left(overlap_sc);
-
   this->m_visitor->found_overlap(c1, c2, overlap_sc);
 
   if (!c1->is_end_point(right_event) && !c2->is_end_point(right_event))