The 32-year-old Rauch twisted his ankle while walking down a flight of stairs earlier in the week. He was still able to do long toss on flat ground, and the injury is not considered serious. For now, though, the club wants Rauch to take a cautious approach with his workouts.
"We just want to be sure that he has passed some tests from a physical standpoint before we put him back on the mound," Blue Jays manager John Farrell said of Rauch.
"We've got time on our side right now, and there's no reason to think he won't be ready once we get into the games schedule and certainly when the beginning of the regular season starts. We just want to be precautionary at this point and make sure there are no lingering issues before we get him on the mound."
Rauch signed a one-year contract worth $3.75 million with the Blue Jays during the offseason. The eight-year veteran spent last season pitching for the Twins, with whom he went 3-1 with a 3.12 ERA and 21 saves over 57 2/3 innings.