TORONTO -- Joe Mauer's bid for a fourth AL batting title took a blow on Tuesday night.
Mauer, who won AL batting titles in 2006, 2008 and 2009, went hitless in three at-bats, dropping his average to .320.
"Unless (Mauer) goes 9 for 9 tomorrow, he might not be able to catch (Cabrera)," Twins manager Ron Gardenhire said.
Mauer acknowledged his chances look dim, but didn't intend to give up his chase and sit out the final game.
"A little disappointing, yeah, but I'll go out there and try to get some hits tomorrow," he said.
Wednesday's season finale also offers Mauer a chance to play his 147th game, a career high. His success this season has brought redemption after he was limited to 82 games because of injuries in 2011, hitting a career-low .287.
"I'm definitely proud of how many games I've played," Mauer said. "It's been a battle but it's been pretty good."
Mauer's teammates have been pulling for him, too.
"We know how hard he's worked to come back after having an injury plagued season last year," outfielder Denard Span said.
Making his third career start, Jenkins (1-3) allowed two runs and five hits in five-plus innings. The right-hander walked one and struck out two.
"There were parts of this year where I honestly wasn't sure whether I was going to get here," Jenkins said. "Fortunately the Blue Jays gave me a chance and now I'm just trying to run with it."
Gardenhire said Jenkins kept the Twins off balance with late movement on his fastball.
"Nice looking whip on the ball," Gardenhire said. "Our hitters talked about some late jump. You can see the ball OK off him but with that late jump, we didn't really square him up too many times."
Minnesota's fourth straight defeat, combined with Cleveland's victory over the White Sox, ensured that the Twins will finish with the AL's worst record for the second straight year. They went 63-99 in 2011.
Johnson's shot came one at-bat after he was caught looking in the second for his 159th strikeout of the season, matching Jose Canseco's team record set in 1998.
Toronto used speed on the bases to open a 4-0 lead in the fifth. Anthony Gose drew a one-out walk and was running when Davis grounded to short. Gose went all the way to third as Davis was thrown out, and scored when Yunel Escobar followed with a base hit to left.
The Twins cut the deficit in half and chased Jenkins in the sixth. Eduardo Escobar led off with a single and Span swatted a two-run homer to right, his fourth.
Loup came on and gave up a single to Ben Revere. But Mauer struck out, Revere was caught stealing and Chris Parmalee grounded out.
Starting in place of Samuel Deduno, who left his last outing with an irritated left eye, Swarzak (3-6) gave up four runs and five hits in five innings. He walked three and struck out two.
"I think he got a little bit tired," Gardenhire said of Swarzak, who had not started since May 25. "He made pitches and gave us an opportunity."
Blue Jays slugger Edwin Encarnacion (sore left shoulder and neck) did not start for the second straight game. ... Revere had three singles but was picked off first base in both the sixth and eighth. ... Twins reliever Luis Perdomo was struck by Davis' comebacker in the eighth but remained in the game. ... Toronto manager John Farrell said he expects his coaching staff to return intact next season. ... Minnesota fell to 26-27 in one-run games. ... Twins LHP Scott Diamond (12-8) faces RHP Brandon Morrow (9-7) in Wednesday's season finale. Diamond, who was born in nearby Guelph, Ontario, will be pitching in Toronto for the first time.