Two weeks of good baseball put the Twins in position to do something Sunday that they hadn't done in six weeks -- climb the standings.
The fourth-place Royals lost again, so with one more victory over the lowly Cubs, the Twins could have vacated the American League Central basement for the first time since April 29.
But Cubs veteran Ryan Dempster wasn't having it. The righthander blanked the Twins for eight innings, easily outpitching Francisco Liriano, as Chicago cruised to an 8-2 victory.
The Twins are 9-3 in their past 12 games and have won their past four series, so their disappointment was tempered.
"Not a good day for us," manager Ron Gardenhire said. "Basically the story was Dempster. He pretty much shut us down."
The Cubs (20-40) went 2-8 on their road trip to San Francisco, Milwaukee and Minnesota, with Dempster notching both victories, his first two of the season. At this point, he is really auditioning for other teams, with Chicago almost certain to move him before the July 31 nonwaiver trade deadline.
Dempster is 2-3 despite a 2.31 ERA. He also has 10-and-5 rights -- 10 years in the majors, five with the same team -- so he can veto any deal, but it's doubtful he would balk at the chance to pitch for a contender again.
"I just tried to go out there and battle against a really hot team; they're swinging the bats really well," Dempster said after holding the Twins to four hits. "We were able to put some more runs on the board and avoid a sweep, and we're able to enjoy the plane ride home."