@@ -2022,6 +2022,9 @@ def rename_blob(
 This method will first duplicate the data and then delete the
 old blob. This means that with very large objects renaming
 could be a very (temporarily) costly or a very slow operation.
+If you need more control over the copy and deletion, instead
+use `google.cloud.storage.blob.Blob.copy_to` and
+`google.cloud.storage.blob.Blob.delete` directly.
 
 :type blob: :class:`google.cloud.storage.blob.Blob`
 :param blob: The blob to be renamed.
@@ -2079,25 +2082,29 @@ def rename_blob(
 :param if_source_generation_match: (Optional) Makes the operation
 conditional on whether the source
 object's generation matches the
-given value.
+given value. Also used in the
+delete request.
 
 :type if_source_generation_not_match: long
 :param if_source_generation_not_match: (Optional) Makes the operation
 conditional on whether the source
 object's generation does not match
-the given value.
+the given value. Also used in the
+delete request.
 
 :type if_source_metageneration_match: long
 :param if_source_metageneration_match: (Optional) Makes the operation
 conditional on whether the source
 object's current metageneration
-matches the given value.
+matches the given value.Also used in the
+delete request.
 
 :type if_source_metageneration_not_match: long
 :param if_source_metageneration_not_match: (Optional) Makes the operation
 conditional on whether the source
 object's current metageneration
 does not match the given value.
+Also used in the delete request.
 
 :type retry: google.api_core.retry.Retry or google.cloud.storage.retry.ConditionalRetryPolicy
 :param retry: (Optional) How to retry the RPC. A None value will disable retries.
@@ -2139,10 +2146,10 @@ def rename_blob(
 blob.delete(
 client=client,
 timeout=timeout,
-if_generation_match=if_generation_match,
-if_generation_not_match=if_generation_not_match,
-if_metageneration_match=if_metageneration_match,
-if_metageneration_not_match=if_metageneration_not_match,
+if_generation_match=if_source_generation_match,
+if_generation_not_match=if_source_generation_not_match,
+if_metageneration_match=if_source_metageneration_match,
+if_metageneration_not_match=if_source_metageneration_not_match,
 retry=retry,
 )
 return new_blob

@@ -1639,7 +1639,8 @@ def test_rename_blob_with_generation_match(self):
 NEW_BLOB_NAME = "new-blob-name"
 DATA = {"name": NEW_BLOB_NAME}
 GENERATION_NUMBER = 6
-METAGENERATION_NUMBER = 9
+SOURCE_GENERATION_NUMBER = 7
+SOURCE_METAGENERATION_NUMBER = 9
 
 connection = _Connection(DATA)
 client = _Client(connection)
@@ -1652,7 +1653,8 @@ def test_rename_blob_with_generation_match(self):
 client=client,
 timeout=42,
 if_generation_match=GENERATION_NUMBER,
-if_source_metageneration_not_match=METAGENERATION_NUMBER,
+if_source_generation_match=SOURCE_GENERATION_NUMBER,
+if_source_metageneration_not_match=SOURCE_METAGENERATION_NUMBER,
 )
 
 self.assertIs(renamed_blob.bucket, bucket)
@@ -1668,7 +1670,8 @@ def test_rename_blob_with_generation_match(self):
 kw["query_params"],
 {
 "ifGenerationMatch": GENERATION_NUMBER,
-"ifSourceMetagenerationNotMatch": METAGENERATION_NUMBER,
+"ifSourceGenerationMatch": SOURCE_GENERATION_NUMBER,
+"ifSourceMetagenerationNotMatch": SOURCE_METAGENERATION_NUMBER,
 },
 )
 self.assertEqual(kw["timeout"], 42)
@@ -1677,10 +1680,10 @@ def test_rename_blob_with_generation_match(self):
 blob.delete.assert_called_once_with(
 client=client,
 timeout=42,
-if_generation_match=GENERATION_NUMBER,
+if_generation_match=SOURCE_GENERATION_NUMBER,
 if_generation_not_match=None,
 if_metageneration_match=None,
-if_metageneration_not_match=None,
+if_metageneration_not_match=SOURCE_METAGENERATION_NUMBER,
 retry=DEFAULT_RETRY_IF_GENERATION_SPECIFIED,
 )