The White Sox recalled Rock from Triple-A Charlotte on Tuesday.
The left-hander was acquired from the Rays in exchange for Oliver Dunn in mid-May and is now on the cusp of his White Sox debut. Rock hasn't been particularly effective at the Triple-A level this year with a 4.88 ERA, 1.79 WHIP and 40:21 K:BB across 24 innings between the two organizations.