diff --git a/tests/lax_numpy_reducers_test.py b/tests/lax_numpy_reducers_test.py
index 4767e48c3..0edc09fa7 100644
--- a/tests/lax_numpy_reducers_test.py
+++ b/tests/lax_numpy_reducers_test.py
@@ -715,7 +715,7 @@ class JaxNumpyReducerTests(jtu.JaxTestCase):
     # TODO(phawkins): we currently set dtype=False because we aren't as
     # aggressive about promoting to float64. It's not clear we want to mimic
     # Numpy here.
-    tol_spec = {np.float16: 1E-2, np.float32: 2e-4, np.float64: 5e-6}
+    tol_spec = {np.float16: 4e-2, np.float32: 2e-4, np.float64: 5e-6}
     tol = max(jtu.tolerance(a_dtype, tol_spec),
               jtu.tolerance(q_dtype, tol_spec))
     self._CheckAgainstNumpy(np_fun, jnp_fun, args_maker, check_dtypes=False,
diff --git a/tests/lax_numpy_test.py b/tests/lax_numpy_test.py
index 860b3358d..f09553c83 100644
--- a/tests/lax_numpy_test.py
+++ b/tests/lax_numpy_test.py
@@ -4768,7 +4768,7 @@ class LaxBackedNumpyTests(jtu.JaxTestCase):
                     else x.astype(np.float32) for x in choicelist]
       dtype = jnp.result_type(default, *choicelist)
       return np.select(condlist,
-                        [np.asarray(x, dtype=dtype) for x in choicelist],
+                        [np.asarray(x).astype(dtype) for x in choicelist],
                         np.asarray(default, dtype=dtype))
     with jtu.strict_promotion_if_dtypes_match(dtypes):
       self._CheckAgainstNumpy(np_fun, jnp.select, args_maker,
diff --git a/tests/lax_scipy_test.py b/tests/lax_scipy_test.py
index 66d84c427..50d2ee725 100644
--- a/tests/lax_scipy_test.py
+++ b/tests/lax_scipy_test.py
@@ -226,7 +226,8 @@ class LaxBackedScipyTests(jtu.JaxTestCase):
     rng = jtu.rand_positive(self.rng())
     args_maker = lambda: [rng(shape, dtype) + (d - 1) / 2.]
     self._CheckAgainstNumpy(scipy_fun, lax_fun, args_maker,
-                            tol={np.float32: 1e-3, np.float64: 1e-14})
+                            tol={np.float32: 1e-3, np.float64: 1e-14},
+                            check_dtypes=False)
     self._CompileAndCheck(
         lax_fun, args_maker, rtol={
             np.float32: 5e-5 if jtu.test_device_matches(["tpu"]) else 1e-05,