Crain went on the DL retroactive to April 21 and can return to the roster on May 6. There is no plan in place for Crain as of yet and a rehab outing or two is possible.
The veteran pitcher loosened up on the side Tuesday for Sox pitching coach Don Cooper.
“He will probably get on the mound on Thursday,” Cooper said. “He still feels some [discomfort], but I don’t think we have lost any time.
“We have not discussed it to the point of sending him out, or is he going to be all right after these two sidelines. So we have not gotten there yet.”
With Crain on the DL, the White Sox bullpen has five pitchers with 50 or fewer days of major league experience.
Crain has a 2.57 ERA with two holds so far in 2012. The right-hander missed 10 days in spring training with a right oblique strain.