White Sox manager Ozzie Guillen expected Wise to be evaluated on Sunday, but that deadline seems to have been pushed back.
"Well, I heard Baltimore," Wise said after being asked when a decision would be made. "Once I get to the training room, then we'll see what they want me to do."
The disabled list remains a distinct possibility for Wise, who strained his left adductor on Wednesday against the Mariners and had to be removed from the game.
"I don't know with this type of injury," Wise said. "I'm a guy that uses my legs a lot, so it all depends on how I feel in Baltimore. If it's at the point where I still can't run, then they'll put me on the DL. But I haven't heard anything from Ozzie and [general manager] Kenny [Williams]."
Wise is hitting .288 with two home runs in 66 at-bats with the White Sox this season, serving mostly as a backup in center field with some time in the corner outfield spots.
Should he be sent to the disabled list, Guillen said Saturday that the team would likely call up a pitcher. It's also possible that the White Sox are waiting for Joe Crede to complete his rehab stint with Triple-A Charlotte.
"We thought Crede would be ready, but he's not," Guillen said. "[The decision will] be made today or real early tomorrow.
"I've got to wait for [athletic trainer] Herm [Schneider]. That's the thing. It's hard, because if he can't run, he's not going to help."
David Just is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.