diff --git a/Minkowski_sum_2/include/CGAL/Minkowski_sum_2/Minkowski_sum_conv_2.h b/Minkowski_sum_2/include/CGAL/Minkowski_sum_2/Minkowski_sum_conv_2.h
index 7b1bd67d5d0..c94a8f622af 100644
--- a/Minkowski_sum_2/include/CGAL/Minkowski_sum_2/Minkowski_sum_conv_2.h
+++ b/Minkowski_sum_2/include/CGAL/Minkowski_sum_2/Minkowski_sum_conv_2.h
@@ -611,7 +611,7 @@ private:
         res = f_compare_xy(curr_pt, next_pt);
 
         if (res != EQUAL) {
-          cycle.insert(curr,
+          after_next = cycle.insert(curr,
                        Labeled_segment_2(Segment_2(curr_pt, next_pt),
                                          X_curve_label((res == SMALLER),
                                                        cycle_id,