On 30 October 2014, Hendriks was traded to the Toronto Blue Jays for Santiago Nessy. Hendriks pitched exclusively out of the bullpen in 2015, and appeared in a career-high 58 games. He would pitch to a 5–0 record, 2.92 ERA, and 71 strikeouts in 64 innings. In the playoffs, Hendriks broke an 85-year-old record in Game Four of the 2015 American League Championship Series on 21 October 2015. After starter R. A. Dickey gave up five runs, Hendriks entered in as the long reliever and pitched 4.1 scoreless innings from the second to the sixth and finished with 13 outs from 12 batters faced, breaking the playoff record for more-outs-than-batters-faced performances. Jim Lindsey previously held the mark with eight outs from seven batters faced in 1930, while playing for the St. Louis Cardinals. Hendriks was pulled in the seventh inning in what was a criticized move and relievers LaTroy Hawkins and Ryan Tepera surrendered seven runs, and with the bullpen depleted at that point, position player Cliff Pennington pitched the final outs as the Blue Jays lost 14-2. For his record-breaking performance in the ALCS, Hendriks was named the Male Player of the Year by "Baseball Australia", and a finalist for the Western Australian Sports Star of the Year.