The Tigers announced the diagnosis on Price's hamstring Saturday but said they would wait until next week before determining whether the left-hander would skip a start.
But Price, who underwent an MRI on Saturday, told reporters he feels "fine" and anticipates making his next scheduled start Thursday against the Minnesota Twins.
Price suffered the injury on a fluke play in Friday night's victory over Kansas City when he stepped on a bat.
With one out and runners on first and second, Alex Gordon singled on an 0-1 pitch. Gordon dropped his bat at the plate, but home plate umpire Alan Porter, anticipating a play at the plate, grabbed it and tossed it toward the screen.
Price, running to back up a throw to the plate, stepped on the bat with his right foot and immediately came up lame, hopping until he came to a stop near the Royals' dugout.
"[Porter] just threw it in a bad spot," Price, who allowed a career-high 13 hits, told reporters. "I know he didn't mean to. It's just one of those things that happen. I'm a fan of [Porter's], so it's all right."
Price, who allowed a career-high 13 hits Friday, is 3-1 with a 3.30 ERA in seven starts this season.
The Associated Press contributed to this report.