diff --git a/tests/hazmat/primitives/test_rsa.py b/tests/hazmat/primitives/test_rsa.py
index 3cb3b17efb22..0d2568297f76 100644
--- a/tests/hazmat/primitives/test_rsa.py
+++ b/tests/hazmat/primitives/test_rsa.py
@@ -845,6 +845,21 @@ def test_unsupported_hash(self, rsa_key_512: rsa.RSAPrivateKey, backend):
         with raises_unsupported_algorithm(_Reasons.UNSUPPORTED_HASH):
             private_key.sign(message, pss, hashes.BLAKE2s(32))
 
+    @pytest.mark.supported(
+        only_if=lambda backend: backend.rsa_padding_supported(
+            padding.PSS(mgf=padding.MGF1(hashes.SHA256()), salt_length=0)
+        ),
+        skip_message="Does not support PSS.",
+    )
+    def test_unsupported_hash_pss_mgf1(self, rsa_key_512: rsa.RSAPrivateKey):
+        private_key = rsa_key_512
+        message = b"my message"
+        pss = padding.PSS(
+            mgf=padding.MGF1(DummyHashAlgorithm()), salt_length=0
+        )
+        with raises_unsupported_algorithm(_Reasons.UNSUPPORTED_HASH):
+            private_key.sign(message, pss, hashes.SHA256())
+
     @pytest.mark.supported(
         only_if=lambda backend: backend.rsa_padding_supported(
             padding.PSS(mgf=padding.MGF1(hashes.SHA1()), salt_length=0)
@@ -1937,6 +1952,27 @@ def test_invalid_oaep_decryption_data_to_large_for_modulus(self, backend):
                 ),
             )
 
+    def test_unsupported_oaep_hash(self, rsa_key_2048: rsa.RSAPrivateKey):
+        private_key = rsa_key_2048
+        with raises_unsupported_algorithm(_Reasons.UNSUPPORTED_HASH):
+            private_key.decrypt(
+                b"0" * 256,
+                padding.OAEP(
+                    mgf=padding.MGF1(DummyHashAlgorithm()),
+                    algorithm=hashes.SHA256(),
+                    label=None,
+                ),
+            )
+        with raises_unsupported_algorithm(_Reasons.UNSUPPORTED_HASH):
+            private_key.decrypt(
+                b"0" * 256,
+                padding.OAEP(
+                    mgf=padding.MGF1(hashes.SHA256()),
+                    algorithm=DummyHashAlgorithm(),
+                    label=None,
+                ),
+            )
+
     def test_unsupported_oaep_mgf(
         self, rsa_key_2048: rsa.RSAPrivateKey, backend
     ):