diff --git a/dpnp/random/dpnp_random_state.py b/dpnp/random/dpnp_random_state.py
index 412d9dec0f81..c224553b0cff 100644
--- a/dpnp/random/dpnp_random_state.py
+++ b/dpnp/random/dpnp_random_state.py
@@ -337,7 +337,7 @@ def randint(self, low, high=None, size=None, dtype=int, usm_type="device"):
         if not use_origin_backend(low):
             if not dpnp.isscalar(low):
                 pass
-            elif not dpnp.isscalar(high):
+            elif not (high is None or dpnp.isscalar(high)):
                 pass
             else:
                 _dtype = dpnp.int32 if dtype is int else dpnp.dtype(dtype)
diff --git a/tests/third_party/cupy/random_tests/test_sample.py b/tests/third_party/cupy/random_tests/test_sample.py
index 3f8a0169ac12..f3b844cdc6a5 100644
--- a/tests/third_party/cupy/random_tests/test_sample.py
+++ b/tests/third_party/cupy/random_tests/test_sample.py
@@ -33,7 +33,6 @@ def test_lo_hi_nonrandom(self):
         a = random.randint(-1.1, -0.9, size=(2, 2))
         numpy.testing.assert_array_equal(a, cupy.full((2, 2), -1))
 
-    @pytest.mark.usefixtures("allow_fall_back_on_numpy")
     def test_zero_sizes(self):
         a = random.randint(10, size=(0,))
         numpy.testing.assert_array_equal(a, cupy.array(()))
@@ -112,7 +111,6 @@ def test_goodness_of_fit_2(self):
         self.assertTrue(hypothesis.chi_square_test(counts, expected))
 
 
-@pytest.mark.usefixtures("allow_fall_back_on_numpy")
 @testing.gpu
 class TestRandintDtype(unittest.TestCase):