CHICAGO -- The Chicago White Sox have won all six meetings against the Minnesota Twins this season.

On Tuesday, the White Sox will try to extend the streak against their division rivals to a lucky seven.

Chicago (38-38) remains in contention in the American League Central thanks in part to its dominance over Minnesota (24-51). The White Sox have outscored the Twins by a margin of 30-9 in six games this season, including a three-game sweep on the road in April and a three-game sweep at home in May.

White Sox manager Robin Ventura is eager for more success against the Twins. Ventura's team is coming off back-to-back series wins against the Boston Red Sox and the Toronto Blue Jays.

In four of their past five games, the White Sox have scored at least five runs.

"We are starting to swing the bat better," Ventura said. "You are playing against teams who can swing the bat as well, and you know you are going to have to put up some runs. To win two series in a row, it's a step in the right direction against tough teams.

"It's like your marching orders. Keep playing the game and see where you are after that."

White Sox left-hander Jose Quintana (5-7, 3.04 ERA) hopes the marching orders include more offense. Quintana has suffered from meager run support throughout his career on the South Side, and this season has been no different.

Earlier this month, the 27-year-old southpaw became the first White Sox pitcher to receive zero or one run of support in seven straight starts since Ross Baumgarten in 1980.

Quintana opened the season 5-1 with a 1.38 ERA in his first seven starts as the White Sox sprinted to the top of the division standings. Since then, he is 0-6 with a 4.50 ERA in his past eight outings. But he is 6-4 with a 3.83 ERA in 15 career starts against the Twins.

Like the White Sox, the Twins enter the series with confidence at the plate. Minnesota clubbed a season-high six home runs en route to a 7-1 win over the New York Yankees on Sunday afternoon. Among the half-dozen long balls were back-to-back-to-back shots by Brian Dozier, Trevor Plouffe and Max Kepler.

Minnesota has won four of its past seven games.

"I keep telling you guys, and it's true, hitting is contagious," Dozier said. "When guys start heating up around you, you kind of want to do the same, and good things happen."

Good things have been few and far between for Twins right-hander Kyle Gibson (0-5, 6.05 ERA), who remains in search of his first win of the season. The 28-year-old spent more than six weeks on the disabled list earlier this year because of a right shoulder strain. He is 0-2 with a 6.00 ERA (12 ER in 18 IP) in three starts since his return.

Despite his struggles, Gibson has enjoyed success against the White Sox. In seven career starts, he is 4-1 with a 2.06 ERA. That includes a perfect 3-0 record with a 2.22 ERA at U.S. Cellular Field, where he has won more games on the road than anywhere else during his career.