diff --git a/tests/test_tensor/test_belief_propagation/test_l2bp.py b/tests/test_tensor/test_belief_propagation/test_l2bp.py
index e4022a98..258404fd 100644
--- a/tests/test_tensor/test_belief_propagation/test_l2bp.py
+++ b/tests/test_tensor/test_belief_propagation/test_l2bp.py
@@ -14,7 +14,7 @@ def test_contract_tree_exact(dtype):
     info = {}
     norm2_bp = contract_l2bp(psi, info=info, progbar=True)
     assert info["converged"]
-    assert norm2_bp == pytest.approx(norm2, rel=1e-6)
+    assert norm2_bp == pytest.approx(norm2, rel=5e-6)
 
 
 @pytest.mark.parametrize("dtype", ["float32", "complex64"])