Beck was optioned to Triple-A Charlotte on Wednesday.
The 26-year-old's biggest hope of cracking the Opening Day roster was dwindling after being passed over by many of the White Sox's top starting pitching prospects, but Beck punched his ticket to the minor leagues by allowing nine earned runs on 13 hits in just 7.1 innings pitched this spring. He does have some major league experience to his name as well as a bit of success against Triple-A hitters, so he could wind up in the Windy City later this season.