[1] Jenkins attended Kennesaw State University, where he played college baseball for the Owls under head coach Mike Sansing.

[2] Jenkins made his major league debut on August 7, 2012, throwing the last 3 innings in a 4-1 loss to the Tampa Bay Rays.

Jenkins pitched 6 shutout innings in relief of Mark Buehrle on August 10 and earned the win, 6–5, after a 19-inning marathon against the Detroit Tigers.

The game was the longest in Blue Jays franchise history in terms of both innings and time elapsed (6 hours, 37 minutes).

[14] On February 6, 2016, Jenkins was designated for assignment by the Blue Jays to make room on the 40-man roster for Gavin Floyd.