Their hopes of reaching baseball's post-season are alive mathematically by the thinnest of margins.
Right-hander Drew Hutchison, however, led the way on Wednesday when he equalled his career best with 10 strikeouts in an 11-1 victory over the Chicago Cubs.
It was the fourth win in a row for the Blue Jays (76-69) and the sixth straight loss for the Cubs (64-82). In the three-game series sweep Toronto outscored Chicago 28-3.
It was the third solid start for the Blue Jays in the series. Rookie right-hander Marcus Stroman pitched his first career shutout in an 8-0 win on Monday and left-hander Mark Buehrle held the Cubs to two runs over seven innings in the 9-2 win on Tuesday.
"They've really picked it up, too," manager John Gibbons said. "Even coming into the season, that was really the question mark of the team, how was the rotation going to hold up. Of course, [Brandon] Morrow went down but those other guys have been steady for pretty much the whole year. We added a guy here and there to make a spot start to give them a little breather but they're pitching a lot better than I expected if you want to know the truth.
"That's important. What they do is most of them give you a shot every time out there. When we're pitching good, we're capable of scoring a lot of runs every night, and when we play good defence, we win."
Hutchison (10-11) allowed four hits and one run, on a homer by Jorge Soler, over 6 1/3 innings. His other 10 strikeout game was July 1 against the Milwaukee Brewers, also at Rogers Centre.
"My command has been good," Hutchison said. "I've been commanding the baseball with all three of my pitches. My slider has been good to both sides of the plate lately. I think that's been a big reason why I've pitched well and my fastball command has been (good). Try to continue to throw the way I am now and give us a chance every time I go out."
The 24-year-old held the Cubs to two doubles and a walk in the first six innings. But in the seventh, Soler hit his fourth homer of the season with one out for the Cubs. Welington Castillo followed with a double and kept going to third on an error by centre fielder Anthony Gose.
Left-hander Brett Cecil replaced Hutchison and finished the inning with a strikeout and a fly out.
"It's been going well lately," Hutchison said. "I felt like I pitched six really good innings and maybe the wait there hurt a little bit coming out for the seventh. But that's always a good thing when you wait that long. Falling behind those guys was frustrating but overall I thought it was a good outing."
The Blue Jays added five runs in the home seventh inning against Cubs relievers Wesley Wright and Kyuji Fujikawa. Edwin Encarnacion and Dioner Navarro each had two-run singles in the inning and Danny Valencia drove in the other run with a single to give him his second RBI on the game.
Dalton Pompey, of Mississauga, Ont., had his first big-league RBI in the two-run eighth when he grounded out as a pinch-hitter.
"I was nervous, I'm not going to lie," said Pompey who was called up for September from triple-A Buffalo. "My arm was shaking before I went up to bat and I just had to collect myself, take a deep breath and try to stick with my approach, it was hard. Even the first pitch, I didn't really see it. Just had to collect myself, try to put the ball in play and good things happen."
Cubs right-hander Kyle Hendricks (6-2) allowed six hits and four runs in 5 2/3 innings for his first loss since July 27.
"We got into a little trouble there and weren't able to dig ourselves out," Cubs manager Rick Renteria said. "They kept chipping away, they kept swinging the bats, they kept doing things to keep their offence going, they kept the line moving. They took advantage of miscues. Kyle probably deserved a better fate."
The Cubs had a chance to take the lead in the first inning after Javier Baez walked with one out. Luis Valbuena followed with a double to right centre. Baez continued around third before being held up. He was thrown out trying to return to third by Navarro after the catcher had taken the relay throw home from second baseman Ryan Goins. Hutchison struck out Soler to end the inning.
That started a run of 15 consecutive batters retired by Hutchison until Chris Coghlan doubled to centre with two out in the sixth. Hutchison responded by striking out Baez.
The Blue Jays scored a run in the third on a double by Kevin Pillar who slid home safely on a sacrifice fly to left by Gose. Pillar had moved to third on a groundout to first by Goins.
The Blue Jays took a 4-0 lead in the sixth. Gose singled to left and then came around to score on a bloop single by Jose Reyes when the right fielder, Soler, mishandled the ball for an error. Reyes took third on a fly out to right by Jose Bautista, whose 13-game hit streak ended, and scored when Adam Lind sliced a single to left. Navarro followed with a walk and Valencia doubled to centre to score Lind.
"I felt really good," Hendricks said. "That was one of my best outings, from the start, that I've had all year. It was one of those innings where I made a lot of good pitches, probably should have gotten out of it. If you fall behind on those guys, they're going to make you pay. Sometimes there's nothing you can do."
Notes: Announced attendance at Rogers Centre was 19,411. …The Blue Jays are considering starting LHP Mark Buehrle on Sunday to give RHP Marcus Stroman an extra day off after he pitched his first career shutout on Tuesday against the Cubs. Buehrle is 18 innings short of pitching at least 200 innings in a season for the 14th straight year. …The Blue Jays have Thursday off before completing the home stand with a three-game series against the Tampa Bay Rays. LHP J.A. Happ (9-9, 4.44 E.R.A.) will start the opener on Friday against RHP Nathan Karns, who is making his first start of the season in the majors.