diff --git a/Optimal_bounding_box/test/Optimal_bounding_box/test_optimization_algorithms.cpp b/Optimal_bounding_box/test/Optimal_bounding_box/test_optimization_algorithms.cpp
index c68d68dce4c..d26b4f59b48 100644
--- a/Optimal_bounding_box/test/Optimal_bounding_box/test_optimization_algorithms.cpp
+++ b/Optimal_bounding_box/test/Optimal_bounding_box/test_optimization_algorithms.cpp
@@ -125,12 +125,16 @@ int main()
   test_OBB_of_mesh("data/long_tetrahedron.off", 0.04);
   test_OBB_of_mesh("data/reference_tetrahedron.off", 1);
 
-  // degenerate cases
-  test_OBB_of_mesh("data/triangles.off", 0); // 2D data set
-  test_OBB_of_mesh("data/flat_mesh.off", 0); // 2D data set
-  test_OBB_of_point_set("data/points_2D.xyz", 0); // 2D data set
-  test_OBB_of_point_set("data/points_1D.xyz", 0); // 1D data set
-  test_OBB_of_point_set("data/points_0D.xyz", 0); // 0D data set
+  // degenerate cases, disabled because
+  // - some testsuite platforms are too slow in debug, and they timeout
+  // - the algorithm does not fully support degenerate data: it returns a box which is optimal
+  //   in terms of volume (0), but is not necessarily optimal in the lower dimensions (i.e., the base
+  //   of the OBB is not optimal).
+//  test_OBB_of_mesh("data/triangles.off", 0); // 2D data set
+//  test_OBB_of_mesh("data/flat_mesh.off", 0); // 2D data set
+//  test_OBB_of_point_set("data/points_2D.xyz", 0); // 2D data set
+//  test_OBB_of_point_set("data/points_1D.xyz", 0); // 1D data set
+//  test_OBB_of_point_set("data/points_0D.xyz", 0); // 0D data set
 
   std::cout << "Done!" << std::endl;