The White Sox optioned Peralta to Triple-A Charlotte on Monday.
Peralta will give up his spot on the 26-man active roster to make room for right-hander Dominic Leone (elbow), who was reinstated from the 60-day injured list. During his latest stint in the majors, Peralta made three relief appearances and didn't allow a run in two of the outings. However, he yielded four runs in one-third of an inning against the Royals on Wednesday.