diff --git a/bigquery/client.py b/bigquery/client.py
index 927345c..bab94f2 100644
--- a/bigquery/client.py
+++ b/bigquery/client.py
@@ -617,6 +617,7 @@ def update_table(self, dataset, table, schema):
             result = self.bigquery.tables().update(
                 projectId=self.project_id,
                 datasetId=dataset,
+                tableId=table,
                 body=body
             ).execute()
             if self.swallow_results:
@@ -664,6 +665,7 @@ def patch_table(self, dataset, table, schema):
             result = self.bigquery.tables().patch(
                 projectId=self.project_id,
                 datasetId=dataset,
+                tableId=table,
                 body=body
             ).execute()
             if self.swallow_results: