Doty, a sophomore, started the final two games for South Carolina last season, throwing a combined two touchdowns and two interceptions in losses to Georgia and Kentucky.
South Carolina first-year coach Shane Beamer named Doty the starter in the spring.
Beamer said the injury to Doty wasn't as serious as first thought and is not considered season-ending.
"We will re-evaluate him here in a couple weeks," Beamer told reporters on Saturday. "Luke is in great spirits and optimistic he will be able to play in the first game. If not, it will be soon after that."