Alex Rios' frustration came to a head before he struck out with the bat on his shoulder and the tying run on first base for the final out of the White Sox' 7-6 loss to the Minnesota Twins on Wednesday.

After he struck out looking in the sixth inning with Paul Konerko on second, Rios did make solid contact in the dugout.

''He swung the bat pretty good in the dugout,'' manager Ozzie Guillen said, trying to make light of the subject after a tough loss. ''He swung better than at the plate. He was connecting very hard.''

Until then, the only good contact made was by the Twins in a six-run first against upstreaming Sox right-hander Jake Peavy (6-7) and by Sox first baseman Brett Lillibridge, who hit a two-run homer against left-hander Scott Diamond (1-2) in the third to cut the Twins' lead to 6-2.

The Sox (68-66) took this loss, which snapped a five-game winning streak and dropped them six games behind the American League Central-leading Detroit Tigers, to Rios' last out. But that's no consolation for a team needing sweeps, perhaps even this weekend when they play three crucial games in Detroit.

''It's been a long season, mostly on the downside for me,'' Rios told the Sun-Times before the game. ''It's not where I want to be. I am going to do something in the offseason to come back ready next year so I meet my expectations. I'm going to have to do something in the offseason.''