diff --git a/tests/fft_test.py b/tests/fft_test.py
index 3668f534d..26b69f5be 100644
--- a/tests/fft_test.py
+++ b/tests/fft_test.py
@@ -158,12 +158,13 @@ class FftTest(jtu.JaxTestCase):
     # Numpy promotes to complex128 aggressively.
     self._CheckAgainstNumpy(np_fn, jnp_fn, args_maker, check_dtypes=False,
                             tol=1e-4)
-    self._CompileAndCheck(jnp_fn, args_maker, atol={np.complex64: 2e-6})
+    self._CompileAndCheck(jnp_fn, args_maker, atol={np.complex64: 2e-6},
+                          rtol={np.float32: 2e-6})
     # Test gradient for differentiable types.
     if (config.enable_x64.value and
         dtype in (float_dtypes if real and not inverse else inexact_dtypes)):
       # TODO(skye): can we be more precise?
-      tol = 0.15
+      tol = 0.16
       jtu.check_grads(jnp_fn, args_maker(), order=2, atol=tol, rtol=tol)
 
     # check dtypes