Jimenez (hamstring) went 1-for-4 with two strikeouts in a rehab appearance with Triple-A Charlotte on Wednesday.
Jimenez started at designated hitter for the second consecutive game with Charlotte. He's gone 1-for-8 and has shown no sign of a setback. While the progress is encouraging, it may be a few days before Jimenez is activated if the White Sox want him to see some work in the outfield.