Right-hander Lucas Harrell was called up from Triple-A Charlotte.
"You don't want to (push) a little tear or strain or whatever it is and we got a little bleeding and some stuff going on," Peavy said Tuesday. "It's not bad, but if we continue to push it and let it linger ... ."
White Sox manager Ozzie Guillen said the decision on when Peavy will return to the rotation will be between general manager Kenny Williams and the team's medical staff. However, he said he'd prefer that Peavy be sent on a minor league rehab stint before returning.
"I expect him to go on a rehab assignment," Guillen said. "This kid has got to go 100 percent all the time, he only goes one way. He's got to test it in the minor leagues, that's my opinion."
Peavy was removed from Sunday's game against the Detroit Tigers in the fourth inning. He had been dealing with a sore right groin since his May 30 start at Boston and aggravated it Sunday while trying to cover first base. He continued to pitch, giving up six runs in the inning.
An MRI on Monday confirmed he suffered a mild groin strain.
"I'm hoping when we give it this week here and the week on the road as far as treatment and I'm sure they'll push me to have a rehab start and I'm sure I'll push against that," Peavy said. "But I'm hoping it's only a few weeks to go back out there and be with the boys and be a contributing factor."
The former Cy Young winner was working through an ankle strain when he was traded to the White Sox in 2009. He blew out his latissimus dorsi muscle and needed surgery last season. When rehabbing from that injury this spring he went through a bout of rotator cuff tendinitis.
Harrell, 26, has gone 4-3 with a 3.25 ERA and 49 strikeouts in 10 games with Charlotte in 2011. The 6-foot-2, 210-pounder was recalled from Charlotte on May 29, allowing four runs in four innings that afternoon at Toronto. He was optioned back to the Knights following the game.
Information from ESPNChicago.com's Doug Padilla and The Associated Press was used in this report.