The Blue Jays selected Rodriguez's contract from Triple-A Buffalo on Friday, Mitch Bannon of The Athletic reports.
Acquired from the Dodgers back on Sept. 1, Rodriguez takes the roster spot vacated by Michael Lorenzen, who was DFA'd in a corresponding move. Rodriguez pitched to a 3.38 ERA and 36:18 K:BB across 29.1 innings with Triple-A Oklahoma City prior to being dealt to Toronto.