diff --git a/python/tests/test_Orientation.py b/python/tests/test_Orientation.py
index d1fd02294..6adf14fb7 100644
--- a/python/tests/test_Orientation.py
+++ b/python/tests/test_Orientation.py
@@ -328,7 +328,7 @@ class TestOrientation:
                             **dict(zip(['a','b','c'],lengths)),
                             **dict(zip(['alpha','beta','gamma'],np.arccos(cosines))),
                             )
-            assert np.allclose(o.to_frame(uvw=np.eye(3)),basis), 'Lattice basis disagrees with initialization'
+            assert np.allclose(o.to_frame(uvw=np.eye(3)),basis,rtol=1e-4), 'Lattice basis disagrees with initialization'
 
     @pytest.mark.parametrize('lattice,a,b,c,alpha,beta,gamma',
                             [