Peavy will be examined on a daily basis, but no move was made to put the right-hander on the disabled list as of now.
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.
It is yet another injury for Peavy in his short tenure with the White Sox. When he was traded to the club in 2009 he was working through an ankle strain. Last season he blew out his latissimus dorsi muscle and needed surgery. When rehabbing from that injury this spring he went through a bout of rotator cuff tendinitis.
On Sunday he was making his fifth start since returning from the surgery last July.
Manager Ozzie Guillen said before Monday's game that the White Sox will return to a five-man rotation for as long as Peavy is out. They had been using a six-man rotation since Peavy came off the disabled list on May 11.
Doug Padilla covers the White Sox for ESPNChicago.com.