Giants manager Bruce Bochy also announced Thursday that Madison Bumgarner will throw his first bullpen session next week as the lefty begins to work his way back from a broken pinkie finger suffered in spring training.
The Giants made the move with Cueto on Thursday to free a 25-man roster spot for right-hander Jose Valdez, who was promoted from Triple-A Sacramento. Right-hander Derek Law was optioned to Triple-A, a day after throwing 2 2/3 scoreless innings during an 11-3 loss to Philadelphia.
The Giants announced earlier this week that Cueto would miss six to eight weeks with a strained right elbow.
Bochy said Cueto perhaps could have returned within 60 days, but the Giants want to be cautious.