"I have no idea what the plans are," he said. "I did what I was asked to do today and I was excited to do that. Who knows what the future holds, I wish I can tell you."
Peavy was acquired from San Diego at the July 31 trade deadline. The right-hander has been on the disabled list since June 13 with a strained tendon in his right ankle and was struck on his pitching elbow during a rehab game on Aug. 24.
The 2007 NL Cy Young Award winner threw between 50 and 60 pitches during his intense bullpen session before Chicago hosted the Oakland Athletics.
White Sox pitching coach Don Cooper was pleased with the session but didn't go as far as setting a date when Peavy will throw in a game.
"There is no date, I'm not going to give you one, he's not going to give you one. All I know is that it went pretty well and we will continue to map out a plan," Cooper said. "He is feeling better. Is he in top form, top shape? No. We got him a little gassed out there today, we wanted to give him a nice workout and we got that done and we will see what happens."
A big indication of Peavy's next step will be based on how he feels on Thursday.
"I think so. From what I'm gathering," Peavy said. "I'm on a daily basis with Cooper. I was told a few a days I was going to do this and I'm excited to do this. I told Coop, I feel like I'm ready to go. When these guys think I'm ready to go, obviously they are the ones watching me and making the decisions. I think tomorrow coming in, get some treatment see how I feel and I hope we make a decision one way or the other."
Peavy's last rehab start was with Triple-A Charlotte on Aug. 29, when he left after 3 1/3 innings because of elbow tightness.