Jose Quintana allowed two runs over seven innings to earn his first win in more than a month, and the White Sox took advantage of Detroit's shaky defense to beat the Tigers 6-2 after trading Dunn on Sunday afternoon.
The White Sox sent Dunn to Oakland before the game, ending a disappointing four-year run in Chicago for the veteran slugger.
Then, they capitalized on a season-high four errors by the Tigers to salvage a four-game split.
"We're going to look a little different for the next month, but for these guys they just continue to grind and learn how to play and win a game against a very good team," Chicago manager Robin Ventura said. "I think you're going to see some guys that are going to compete and you go from there."
Jose Abreu extended his hitting streak to 12 games, and the White Sox won after dropping 10 of 12.
It didn't hurt that the Tigers held Miguel Cabrera out of the lineup because of a sore right foot. He left the second game of Saturday's day-night doubleheader and is day to day. But the biggest issue for Detroit was its defense, particularly in the early going.
"I don't know if it was the worst (game), but it was certainly up there," manager Brad Ausmus said.
The Tigers, who came into the game tied with Kansas City for the AL Central lead, committed three errors in the first two innings as the White Sox jumped out to a 5-0 lead, and that was enough for Quintana (7-10).
The left-hander allowed six hits in his first victory since winning at Detroit on July 29.
Detroit starter Rick Porcello (15-9) went 6 2/3 innings, allowing six runs -- three earned -- and 11 hits. But the biggest issue for Detroit was the defense,
The Tigers' problems started when Eaton opened a two-run first with a double that bounced off left fielder J.D. Martinez's glove. He came around on Conor Gillaspie's two-out single, and Garcia scored when shortstop Eugenio Suarez dropped the ball trying to flip it to second after fielding a grounder by Dayan Viciedo.
Gillaspie was initially ruled out at second, but the call was overturned after a replay review, making it 2-0.
The White Sox took advantage of two more errors in a three-run second that broke open the game.
First baseman Don Kelly booted Sanchez's grounder as Leury Garcia scored, and third baseman Nick Castellanos let Abreu's grounder go under his glove as he tried to backhand it for an error. That brought in Eaton, and Avisail Garcia followed with an RBI single to make it 5-0.
Tigers: RHP Joakim Soria, on the 15-day disabled list with a strained left oblique, is expected to throw a side session Monday on flat ground and possibly off the front of the mound depending on how he feels, Ausmus said.
White Sox: Abreu, who has been bothered by an upper leg problem, was back at DH after starting there for both games Saturday.
Tigers: David Price (12-10, 3.32 ERA) looks to get back in form as the Tigers open a four-game series against Corey Kluber (13-8, 2.52) and the Cleveland Indians. Price went from throwing a one-hitter to getting pulled after allowing nine straight hits against the New York Yankees on Wednesday.
With Dunn gone, Andy Wilkins figures to get a look down the stretch. Called up Sunday from Triple-A Charlotte after hitting 30 home runs and driving in 85 runs, he started at first base and was 0 for 4 with three strikeouts. "It was a great day. It's one I'll never forget," he said.
The Tigers plan to call up six prospects when rosters expand Monday.
Ausmus said outfielders Steven Moya and Tyler Collins and infielder Hernan Perez will join the team Monday in Cleveland. Left-handed pitchers Robbie Ray and Kyle Lobstein along with catcher James McCann will be recalled on Tuesday.