Getting the win was Jon Garland, who over seven innings allowed two runs, both coming on a homer Eric Munson in the fourth. Garland gave up six hits and two walks, while striking out five and throwing 104 pitches.
The White Sox had a baserunner in four of the first six innings, all coming by way of a walk or error.
The seventh inning had the making of the previous six -- no runs -- with back-to-back popouts by Magglio Ordonez and Carl Everett. That was followed by three straight singles from Konerko, Jose Valentin and Joe Crede, cutting the deficit to 2-1.
After Miguel Olivo was replaced by pinch-hitter Brian Daubach, who after the Tigers pulled Cornejo for lefty Jamie Walker, was replaced by Graffanino.
The rest was history as Graffanino took a 2-2 pitch into the bullpen in left-field, giving the Sox their first lead of the game, 4-2. Three more singles by Roberto Alomar, Carlos Lee and Frank Thomas expanded the lead to 5-2.
Crede drove in the final run with a RBI-single in the eighth, scoring pinch-runner Willie Harris, who stole second and advanced to third on a sacrifice fly by Konerko. Along with two hits and two RBIs, Crede stole his first base of the season.
Damaso Marte pitched scoreless eighth and ninth innings, picking up his fifth save. Marte struck out four.
Game four of the series will be played on Sunday afternoon at 1:05 CT, with Esteban Loaiza facing lefty Wilfredo Ledezma. The game will be televised on Fox Sports Net.