diff --git a/pyscf/msdft/tests/test_noci.py b/pyscf/msdft/tests/test_noci.py
index 13c25c0b..16491a65 100644
--- a/pyscf/msdft/tests/test_noci.py
+++ b/pyscf/msdft/tests/test_noci.py
@@ -22,7 +22,7 @@ def test_hf_det_ovlp():
     h, s = noci.hf_det_ovlp(ms_ks, [mf0, mf1])
     ref = np.array([[-93.6133596391479,  10.03601933903856],
                     [10.03601933903856, -93.43781863677702]])
-    assert abs(h/ref - 1.).max() < 1e-7
+    assert abs(h/ref - 1.).max() < 1e-6
 
 def test_noci_e_tot():
     mol = gto.M(atom='''