Thomas' and Crede's solo home run's came in the seventh and eighth innings in order, both off former Sox pitcher Wilson Alvarez.
The Sox, who had 10 hits and left eight men on base, scored their first two runs in the third inning.
Jimenez then stole second, reached third on a Jose Valentin fly out and scored, after a Thomas walk, on a Magglio Ordonez single. Thomas and Ordonez moved up on a wild pitch, putting both in scoring position, but Carlos Lee struck out to end it.
Lee went 0-4 and is now 3-20 in his last six games, while Ordonez went 2-4. Jimenez went 1-5, as did Valentin. Armando Rios started in center, going 0-3.
The first two runs were scored off starter Andy Ashby, who pitched three innings before giving way for Alvarez. Alvarez gave up two runs in five innings, striking out five.
The rubber-match off the set will be played on Sunday at 3:10 p.m. CT and will be televised on Fox Sports Net Chicago. Esteban Loaiza is scheduled to pitch against lefty Odalis Perez.