Then Vaughn and company landed the knockout blow.
Shut out by Ray for most of the game, Chicago got on the board on Vaughn's fifth homer of his rookie season and then broke it open with five runs in the eighth.
“We have the fight in us. I mean one through nine and every pitcher we got that goes to the mound,” Vaughn said. “It's unbelievable. ... We know that we have a potent lineup and just got to get our shot.”
After Vaughn made it 2-1 with a bases-loaded flyball to deep center against Trent Thornton (1-2), Adam Eaton drove in Yermín Mercedes with a pinch-hit single. Leury García added a two-run triple, and Tim Anderson capped the rally with a sac fly.
Garrett Crochet (2-2) got three outs for the win as the AL Central leaders moved a season-high 14 games over .500 at 37-23.
Toronto went 1 for 12 with runners in scoring position and left nine runners on base in the opener of a seven-game trip, wasting a season-high 13 strikeouts by Ray.
“It was fun watching Robbie pitch," Blue Jays manager Charlie Montoyo said. "He was on. He's been great.”
“I think Andrew is solidifying not just in his own mind but with his teammates that he belongs here and we can count on him,” manager Tony La Russa said.
Chicago then loaded the bases on two walks and a single, but Rafael Dolis escaped the jam when he threw a called third strike past Yoán Moncada.
Ray allowed five hits and walked none in his first career appearance against the White Sox. He leads the Blue Jays with 82 strikeouts in 64 1/3 innings this season.
“I felt like my stuff was great all night,” Ray said.
Toronto put at least two runners on in four of the first five innings, but Jonathan Davis' sacrifice fly in the second accounted for its only run against Carlos Rodón.
Teoscar Hernández and Randal Grichuk struck out with runners at the corners in the first. Grichuk bounced into an inning-ending double play in the third. With two outs and runners on the corners in the fifth, Hernández flied to center on a 3-0 pitch.
Rodón allowed six hits in five innings. He struck out eight and walked two.
“All hail Carlos Rodón," La Russa said. “What he did those first five innings to keep it at one run, he's the star of the game and everybody knew it.”
Blue Jays: C Danny Jansen was placed on the 10-day injured list with a strained right hamstring, and C Riley Adams was recalled from Triple-A Buffalo. Adams went 1 for 3 in his first big league game. ... OF George Springer (quad strain) traveled with the team to Chicago, and Montoyo said the plan was to have Springer work out on the field before the series opener. ... 3B-OF Cavan Biggio (sprained spine ligament) homered Sunday in his first rehab game with Buffalo.
White Sox: La Russa said RHP Michael Kopech (strained left hamstring) is feeling better. Kopech hasn't appeared in a game since May 26. “I think you’re looking for, when he throws or runs, that he doesn’t feel anything," La Russa said. “I still think he’s got a little pinch in there that’s holding him back some, but he’s making progress.” ... LHP Jace Fry (microdiscectomy) tossed two scoreless innings in a rehab appearance with Triple-A Charlotte.
Lance Lynn (7-1, 1.23 ERA) faces Blue Jays rookie Alek Manoah (1-0, 3.86) on Wednesday night. Lynn is looking for his fourth straight win, part of a terrific start in his first year with the White Sox. Manoah allowed four runs and four hits over 3 1/3 innings in his second career start Wednesday against Miami.
Jay Cohen can be reached at https://twitter.com/jcohenap
Pederson poses on 1st base after hitting in run
Paul DeJong can't handle a Joc Pederson ground ball, allowing a run to score as Pederson lays on first base.
Sliding New York Yankees 'need to step it up,' manager Aaron Boone says
After the Yankees were swept by the Phillies on Sunday, manager Aaron Boone said "we need to step it up. Period."
Buehler, Betts propel Dodgers to 5-3 win over Rangers
— Mookie Betts knows he's struggling. He still homered and scored three runs.
Angels roll to 10-3 win, send D-backs to 10th straight loss
— Patrick Sandoval is turning into a pretty good pitcher for the Los Angeles Angels. He's also become a ringer at a fairly mundane task: Picking up the pregame lineup card, walking it to home plate and handing it to the umpires.
Betts cranks solo homer vs. Rangers
Mookie Betts hits a solo home run in the third inning of the Dodgers' win vs. the Rangers.
Bassitt wins 7th straight, Olson 2 HRs, A's beat Royals 6-3
— Oakland's slugging Matts have a running joke how one is usually hot when the other's not.