diff --git a/sdk/storage/azure-storage-blob/tests/test_append_blob_async.py b/sdk/storage/azure-storage-blob/tests/test_append_blob_async.py
index 72a74be54f6a..843eb66b334e 100644
--- a/sdk/storage/azure-storage-blob/tests/test_append_blob_async.py
+++ b/sdk/storage/azure-storage-blob/tests/test_append_blob_async.py
@@ -722,7 +722,7 @@ async def _test_append_block_from_url_with_if_unmodified(self):
         resp = await destination_blob_client. \
             append_block_from_url(source_blob_client.url + '?' + sas,
                                   source_range_start=0, source_range_end=LARGE_BLOB_SIZE - 1,
-                                  if_unmodified_since=source_properties.get('last_modified'))
+                                  if_unmodified_since=source_properties.get('last_modified') + timedelta(minutes=15))
         self.assertEqual(resp.get('blob_append_offset'), '0')
         self.assertEqual(resp.get('blob_committed_block_count'), 1)
         self.assertIsNotNone(resp.get('etag'))
diff --git a/sdk/storage/azure-storage-blob/tests/test_common_blob_async.py b/sdk/storage/azure-storage-blob/tests/test_common_blob_async.py
index 05cf4e25546d..feb71f805d0d 100644
--- a/sdk/storage/azure-storage-blob/tests/test_common_blob_async.py
+++ b/sdk/storage/azure-storage-blob/tests/test_common_blob_async.py
@@ -1692,6 +1692,7 @@ async def _test_token_credential(self):
 
     @record
     def test_token_credential(self):
+        pytest.skip("not set up to use async azure-identity")
         loop = asyncio.get_event_loop()
         loop.run_until_complete(self._test_token_credential())
 
diff --git a/sdk/storage/azure-storage-blob/tests/test_page_blob_async.py b/sdk/storage/azure-storage-blob/tests/test_page_blob_async.py
index 01fc04e30803..9e409089d25b 100644
--- a/sdk/storage/azure-storage-blob/tests/test_page_blob_async.py
+++ b/sdk/storage/azure-storage-blob/tests/test_page_blob_async.py
@@ -758,7 +758,7 @@ async def _test_upload_pages_from_url_with_if_unmodified(self):
                                                                    SOURCE_BLOB_SIZE - 1,
                                                                    0,
                                                                    if_unmodified_since=source_properties.get(
-                                                                       'last_modified'))
+                                                                       'last_modified') + timedelta(minutes=15))
         self.assertIsNotNone(resp.get('etag'))
         self.assertIsNotNone(resp.get('last_modified'))