Beckham has missed the team’s first 22 games.
Jose Abreu and Dayan Viciedo hit RBI doubles in the seventh inning, and the Chicago White Sox rallied for a 3-1 victory over the Detroit Tigers on Monday night.
The White Sox now have 47 players left in major league camp.
The White Sox have agreed to one-year contracts with 24 players, including second baseman Gordon Beckham, catcher Tyler Flowers and starting pitcher Chris Sale.
The White Sox announced Friday they have purchased the contracts of right-handed pitcher Deunte Heath from Triple-A Charlotte and left-hander Charlie Leesman from Double-A Birmingham.