Encarnacion, who has a .277 average with 26 home runs and 70 RBIs in 88 games, suffered the injury while legging out a grounder on Saturday in Oakland. He's expected to miss at least two weeks and won't be able to play in the upcoming all-star game.
The Blue Jays claimed Reimold off waivers from Baltimore over the weekend.
Reimold had back surgery last July and appeared in 17 games for double-A Bowie of the Eastern League while on a rehab assignment, hitting .315 with two home runs and nine RBIs. Over parts of five seasons with the Orioles, he has a .252 average with 41 home runs and 126 RBIs.
The Blue Jays also announced Monday that outfielder Kenny Wilson was claimed off waivers by the Athletics.