diff --git a/tests/dtypes_test.py b/tests/dtypes_test.py
index 10ce202435d7..c566c6c28612 100644
--- a/tests/dtypes_test.py
+++ b/tests/dtypes_test.py
@@ -269,47 +269,58 @@ def testPromoteDtypesStrict(self):
 
   @jax.numpy_dtype_promotion('standard')
   def testPromoteDtypesStandard(self):
+    assertTypePromotionError = functools.partial(
+        self.assertRaisesRegex,
+        dtypes.TypePromotionError,
+        'Input dtypes .* have no available implicit dtype promotion path.',
+        dtypes.promote_types,
+    )
+
+    small_fp_dtypes = set(fp8_dtypes + fp4_dtypes)
+    implicit_int_dtypes = set(signed_dtypes + unsigned_dtypes) - set(intn_dtypes)
+
     for t1 in all_dtypes:
       self.assertEqual(t1, dtypes.promote_types(t1, t1))
-
       self.assertEqual(t1, dtypes.promote_types(t1, np.bool_))
       # TODO(zhangqiaorjc): Consider more dtype promotion rules for fp8.
-      if t1 in fp8_dtypes:
-        continue
-      if t1 in intn_dtypes:
-        continue
-      if t1 in fp4_dtypes:
-        continue
-      self.assertEqual(np.dtype(np.complex128),
-                       dtypes.promote_types(t1, np.complex128))
+      if t1 in small_fp_dtypes or t1 in intn_dtypes:
+        assertTypePromotionError(t1, np.complex128)
+      else:
+        self.assertEqual(
+            np.dtype(np.complex128), dtypes.promote_types(t1, np.complex128)
+        )
 
       for t2 in all_dtypes:
         # TODO(zhangqiaorjc): Consider more dtype promotion rules for fp8.
-        if t2 in fp8_dtypes:
-          continue
-        if t2 in intn_dtypes:
-          continue
-        if t2 in fp4_dtypes:
-          continue
-        # Symmetry
-        self.assertEqual(dtypes.promote_types(t1, t2),
-                         dtypes.promote_types(t2, t1))
+        if (
+            (t1 != t2)
+            and (t1 != np.bool_)
+            and (t2 != np.bool_)
+            and (
+                t1 in intn_dtypes or
+                t2 in intn_dtypes or
+                (t1 in small_fp_dtypes and t2 not in implicit_int_dtypes) or
+                (t2 in small_fp_dtypes and t1 not in implicit_int_dtypes)
+            )
+        ):
+          assertTypePromotionError(t1, t2)
+          assertTypePromotionError(t2, t1)
+        else:
+          self.assertEqual(
+              dtypes.promote_types(t1, t2), dtypes.promote_types(t2, t1)
+          )
 
     self.assertEqual(np.dtype(np.float32),
                      dtypes.promote_types(np.float16, dtypes.bfloat16))
 
-    # Promotions of non-inexact types against inexact types always prefer
-    # the inexact types.
+    # Promotions of exact types against inexact types always prefer the
+    # inexact types.
     for t in float_dtypes + complex_dtypes:
       for i in bool_dtypes + signed_dtypes + unsigned_dtypes:
-        # TODO(zhangqiaorjc): Consider more dtype promotion rules for fp8.
-        if t in fp8_dtypes:
-          continue
-        if t in fp4_dtypes:
-          continue
-        if t in intn_dtypes or i in intn_dtypes:
-          continue
-        self.assertEqual(t, dtypes.promote_types(t, i))
+        if i in intn_dtypes:
+          assertTypePromotionError(t, i)
+        else:
+          self.assertEqual(t, dtypes.promote_types(t, i))
 
     # Promotions between exact types, or between inexact types, match NumPy.
     for groups in [bool_dtypes + np_signed_dtypes + np_unsigned_dtypes,