diff --git a/test/test_clmath.py b/test/test_clmath.py
index 90a2bc0d59f6b379678b5a72586f4aabfbe4899d..aaa89daf18740ca09d6d999652a7bad641edf29a 100644
--- a/test/test_clmath.py
+++ b/test/test_clmath.py
@@ -294,7 +294,7 @@ def test_bessel(ctx_factory):
             scipy_bessel = scipy_func(n, a)
 
             error_scipy = get_err(cl_bessel, scipy_bessel)
-            assert error_scipy < 5e-7, error_scipy
+            assert error_scipy < 1e-10, error_scipy
 
             if use_pyfmmlib and (
                     which_func == "j"