Garcia took part in a second simulated game with recovering pitcher Matt Lindstrom pitching on Tuesday and gave the thumbs-up as to how he was feeling following the session.
"I hit a couple of balls good," Garcia said. "Everything is fine. I hit a couple of good balls today. I threw to the bases today, too. I'm just waiting for the time when they send me down."
Garcia's return would be important not just to the team, but in terms of his development, which was cut short with just 34 plate appearances.
"Where he's at right now, you expect at some point to be able to see him," said White Sox manager Robin Ventura. "But I'm sure he'll get home and doctors will look at him again and everybody has to make sure he's 100 percent when he goes out there.
"I don't think we're going to be pressing that he has to make it here. But if he's totally healthy and he's ready to go I know, I would be happy to see him."
Scott Merkin is a reporter for MLB.com. Read his blog, Merk's Works, and follow him on Twitter @scottmerkin. This story was not subject to the approval of Major League Baseball or its clubs.