diff --git a/dpnp/tests/third_party/cupy/math_tests/test_sumprod.py b/dpnp/tests/third_party/cupy/math_tests/test_sumprod.py
index 4be70c0c54d9..c0cce93be8e2 100644
--- a/dpnp/tests/third_party/cupy/math_tests/test_sumprod.py
+++ b/dpnp/tests/third_party/cupy/math_tests/test_sumprod.py
@@ -784,6 +784,23 @@ def test_cumsum_axis(self, xp, dtype, axis):
         a = testing.shaped_arange(tuple(range(4, 4 + n)), xp, dtype)
         return self._cumsum(xp, a, axis=axis)
 
+    @testing.for_all_dtypes()
+    @testing.numpy_cupy_allclose(contiguous_check=False)
+    @pytest.mark.parametrize("order", ["C", "F"])
+    def test_cumsum_no_axis(self, xp, dtype, order):
+        a = testing.shaped_arange((4, 3), xp, dtype)
+        out = xp.empty((12,), dtype=dtype)
+
+        if order in ("c", "C"):
+            out = xp.ascontiguousarray(out)
+        elif order in ("f", "F"):
+            out = xp.asfortranarray(out)
+
+        b = a.copy()
+        xp.cumsum(a, out=out, dtype=dtype)
+        testing.assert_array_equal(a, b)  # Check if input array is overwritten
+        return out
+
     @pytest.mark.parametrize("axis", axes)
     @testing.for_all_dtypes()
     @testing.numpy_cupy_allclose()