Davis sustained the injury during the fourth inning of Wednesday's 11-5 victory over the Rangers. It's not something that should keep him out of action for a long period of time, but there is no immediate timetable for a return.
"This morning he felt better than expected," Blue Jays manager John Farrell said. "He's still day to day, but at least it's not as severe as maybe first thought. Today has been better.
"He attempted to steal and it was a slide step. So he started and stopped real quick and that quick change in direction is when he felt it in his left hip flexor."
Davis, who is the Blue Jays No. 4 outfielder, is hitting .207 (6-for-29) with three extra-base hits and three stolen bases in 19 games this season.