diff --git a/src/parser.rs b/src/parser.rs
index 6d917f027..7b0506548 100644
--- a/src/parser.rs
+++ b/src/parser.rs
@@ -2680,10 +2680,13 @@ impl<'a> Parser<'a> {
             None
         };
 
-        let group_by = if self.parse_keywords(&[Keyword::GROUP, Keyword::BY]) {
-            self.parse_comma_separated(Parser::parse_group_by_expr)?
-        } else {
-            vec![]
+        let mut group_by = vec![];
+        if self.parse_keywords(&[Keyword::GROUP, Keyword::BY]) {
+            let is_l_parent = self.consume_token(&Token::LParen);
+            group_by = self.parse_comma_separated(Parser::parse_group_by_expr)?;
+            if is_l_parent {
+                self.consume_token(&Token::RParen);
+            }
         };
 
         let cluster_by = if self.parse_keywords(&[Keyword::CLUSTER, Keyword::BY]) {
diff --git a/tests/sqlparser_common.rs b/tests/sqlparser_common.rs
index 07a0db524..255d6a8f5 100644
--- a/tests/sqlparser_common.rs
+++ b/tests/sqlparser_common.rs
@@ -1096,6 +1096,10 @@ fn parse_select_group_by() {
         ],
         select.group_by
     );
+    one_statement_parses_to(
+        "SELECT id, fname, lname FROM customer GROUP BY (lname, fname)",
+        sql,
+    );
 }
 
 #[test]