Playing an unknown position such as third base is a small price for Orlando Hudson to pay as a tradeoff for going to a contender such as the White Sox.
"We're fighting for something. We got a great chance to win the division," Hudson said. "We got a chance to do a lot of great things."
White Sox relievers had their consecutive scoreless innings pitched streak snapped at 11 2/3 during Thursday's 11-8 victory over the Twins.
The White Sox improved to 12-11 against the American League Central.
Paul Konerko hit his 45th career homer against the Twins, his most against any opponent.