diff --git a/tests/test_mesh_normal_consistency.py b/tests/test_mesh_normal_consistency.py
index 3f2f1a93..23bd1c61 100644
--- a/tests/test_mesh_normal_consistency.py
+++ b/tests/test_mesh_normal_consistency.py
@@ -9,6 +9,17 @@ from pytorch3d.structures.meshes import Meshes
 from pytorch3d.utils.ico_sphere import ico_sphere
 
 
+IS_TORCH_1_8 = torch.__version__.startswith("1.8.")
+PROBLEMATIC_CUDA = torch.version.cuda in ("11.0", "11.1")
+# TODO: There are problems with cuda 11.0 and 11.1 here.
+# The symptom can be
+# RuntimeError: radix_sort: failed on 1st step: cudaErrorInvalidDevice: invalid device ordinal
+# or something like
+# operator(): block: [0,0,0], thread: [96,0,0]
+# Assertion `index >= -sizes[i] && index < sizes[i] && "index out of bounds"` failed.
+AVOID_LARGE_MESH_CUDA = PROBLEMATIC_CUDA and IS_TORCH_1_8
+
+
 class TestMeshNormalConsistency(unittest.TestCase):
     def setUp(self) -> None:
         torch.manual_seed(42)
@@ -37,7 +48,10 @@ class TestMeshNormalConsistency(unittest.TestCase):
 
     @staticmethod
     def init_meshes(num_meshes: int = 10, num_verts: int = 1000, num_faces: int = 3000):
-        device = torch.device("cuda:0")
+        if AVOID_LARGE_MESH_CUDA:
+            device = torch.device("cpu")
+        else:
+            device = torch.device("cuda:0")
         valid_faces = TestMeshNormalConsistency.init_faces(num_verts).to(device)
         verts_list = []
         faces_list = []