The celebration continued, on and off the field, as Chicago won its 17th straight at home. Richard Dotson pitched a five-hitter and Harold Baines hit his fourth homer in as many games.
"I must have had a good sinker," Dotson said. "I tried to keep the ball down and they kept hitting it into the ground."
The White Sox players showed no aftereffects from the party they threw Saturday night after clinching the AL West title by beating Seattle, 4-3.
"We played like champions and we celebrated like champions," Manager Tony LaRussa said.
As for Dotson, LaRussa said, "If he wasn't going for a shutout, he would never have finished. Our starters have been pitching so well that our bullpen has not been getting enough work. The relievers have to start getting their innings."
Dotson (19-7) won his seventh straight and the 11th in his last 12. It was his first shutout.
Mayor Harold Washington of Chicago, saying he's always been a White Sox fan, said the town is topsy-turvy about the team's first title of any kind since 1959.
"We're just so proud of this team," he said.
Washington said he did not attend Saturday night's game because a major fire threatened to spread to a Chicago Housing Authority apartment building.