Guillen played for the first time in 11 months after recovering from a left knee injury, but now Jackson's left wrist is giving Detroit concern. The outfielder hasn't had an at-bat in over a week.
"It's a status quo situation right now," manager Jim Leyland said. "We're biding our time right now, but there will have to be a decision at some point."
The Tigers have lost twice to Chicago by a combined 13-2 since the break. The White Sox try for a three-game sweep Sunday.
Jackson (6-7) allowed nine hits in his third career shutout, striking out two and walking two. It was his first complete game since June 25, 2010, when Jackson, then with the Arizona Diamondbacks, held Tampa Bay hitless in a 1-0 win.
Jackson threw 149 pitches in that game. He needed only 101 on Saturday.
Max Scherzer (10-5) allowed two runs and eight hits in eight innings. He struck out six.
"I felt pretty good, especially considering this was with eight days off," Scherzer said. "I was able to pitch with all three pitches and execute all of them down in the strike zone."
Carlos Quentin hit a solo home run for Chicago.
Jackson pitched for Detroit in 2009, then was traded to Arizona as part of a three-team deal that also brought Scherzer from the Diamondbacks to the Tigers. The White Sox acquired Jackson in the middle of last season.
Chicago opened the scoring in the second when Quentin lined his 18th homer of the season over the fence in left field. The following inning, Pierre hit a one-out single, stole second, advanced to third on a groundout and came home on Paul Konerko's single.
"Quentin hit a 3-1 fastball, which is going to happen," Scherzer said. "The other one, I made a mistake to Konerko."
Pierre doubled and stole third in the fifth, but Scherzer worked out of that jam by getting Alexei Ramirez on a groundout and Konerko on a fly ball.
Chicago squandered another chance in the seventh. With runners on second and third, Pierre lifted a fly ball to shallow right. Gordon Beckham tagged up and beat the throw home, but catcher Alex Avila immediately threw back to third, where Beckham was called out for leaving the base early.
Chicago added three runs in the ninth off Detroit closer Jose Valverde, the last on an RBI single by Pierre. It was Pierre's first four-hit game of the season.
"I think I was looking at first base when it was coming," Jackson said. "I just saw a flash. That was the assist — off the back, to Teahen, to the out. We planned that."
Detroit had a few chances but could never break through. Avila flied out to left with two on in the fourth, and Guillen grounded out with runners on second and third to end the sixth.
Guillen hurt his left knee last August and needed microfracture surgery. He started at second base Saturday and hit a fourth-inning single.
Ordonez had a leadoff single in the eighth, but Jackson got Miguel Cabrera to hit into a force play, and Konerko made a nice pickup of Victor Martinez's grounder at first base, starting a double play.
NOTES: Chicago has not announced a probable starter for Wednesday night's game at Kansas City. LHP John Danks (strained right oblique) threw six scoreless innings in a rehab start Friday night with Triple-A Charlotte. ... Chicago's Adam Dunn tossed his bat aside and started toward first in the first inning, thinking he'd drawn a walk, but home plate umpire Alan Porter called the pitch a strike. Dunn came back and eventually flied out. ... Detroit reliever Al Alburquerque returned from the disabled list after being out with inflammation of his right forearm. He got the last out in the top of the ninth.