Cimber, 32, is 0-2 with one save and a 7.40 ERA in 22 relief appearances this season.
He yielded three earned runs on three hits in one-third of an inning against the Texas Rangers in his most recent appearance last Sunday.
Also on Saturday, the Blue Jays recalled right-hander Bowden Francis from Triple-A Buffalo.
Francis, 27, has a 3.68 ERA without recording a decision in three games with the Blue Jays this season.
Blue Jays place right-hander Adam Cimber on 15-day IL