The Chicago White Sox are hoping that Jose Abreu will return from the disabled list when eligible on June 2 without a Minor League rehab stint.

"As of right now, there's not a plan for him to go out [on a rehab assignment]," Robin Ventura said. "He would stay here. I think [trainer] Herm [Schneider] wants him here just to watch him, and we'll figure out if we can get somebody here to simulate something to make him do it here instead of having to go play in a game."

Abreu hasn't played in a game since May 17 after being placed on the DL with inflammation in his left ankle.