diff --git a/tensorflow/python/kernel_tests/BUILD b/tensorflow/python/kernel_tests/BUILD
index 5eabd8e53fd..179298c837e 100644
--- a/tensorflow/python/kernel_tests/BUILD
+++ b/tensorflow/python/kernel_tests/BUILD
@@ -2916,8 +2916,7 @@ cuda_py_test(
         "no_rocm",
         "optonly",  # flaky timeouts unless optimized
     ],
-    # TODO(b/134677329): Re-enable this test.
-    xla_enable_strict_auto_jit = False,
+    xla_enable_strict_auto_jit = True,
 )
 
 cuda_py_test(
diff --git a/tensorflow/python/kernel_tests/conv2d_backprop_filter_grad_test.py b/tensorflow/python/kernel_tests/conv2d_backprop_filter_grad_test.py
index a2feb67dc73..c6e5945bd75 100644
--- a/tensorflow/python/kernel_tests/conv2d_backprop_filter_grad_test.py
+++ b/tensorflow/python/kernel_tests/conv2d_backprop_filter_grad_test.py
@@ -110,7 +110,7 @@ class Conv2DBackpropFilterGradTest(test.TestCase):
                 [in_val, out_backprop_val], [in_shape, out_backprop_shape],
                 output, filter_shape)
             print("conv2d_backprop_filter gradient err = %g " % err)
-            err_tolerance = 2e-3
+            err_tolerance = 1e-2
             self.assertLess(err, err_tolerance)