Royals manager Ned Yost said he didn't expect Cuthbert to be out more than a week.
"We've got games coming up Monday in St. Louis in a National League city and I need someone healthy," Yost said. "I've got a short bench as it is and I've got to be able to use it. Cheslor's situation isn't that bad and if we weren't going to a National League city, we probably don't DL him."
Torre, a switch-hitter, was hitting .229 in 39 games at Triple-A Omaha this season. Torres, 25, made his Major League debut last season and hit .243 in 33 games.