White Sox right-hander Andre Rienzo pitched six solid innings and the Sox offense used its power for the second straight night in a 7-6 victory over the Royals on Tuesday.

Tyler Flowers and Adam Dunn became the fourth and fifth Sox players to homer in the last two games at Kauffman Stadium. Dunn's three-run shot in the eighth inning gave the Sox a needed cushion as the Royals answered with three runs of their own in the eighth.

Ronald Belisario stepped in for injured closer Matt Lindstrom with a 7-5 lead in the ninth. He allowed two hits and one run but held on for his first Sox save.

The Sox are 6-0 in Rienzo's starts this season, and he is 4-0.

"Maybe I have luck, I don't know," Rienzo said. "The offense is awesome this year. The offense makes it happen, and the defense too. The teams make it happen. It's not about me."

Royals designated hitter Billy Butler walked and Alex Gordon was hit by a pitch to start the second inning before Danny Valencia hit a two-run double to right-center field for a 2-1 Royals lead.

Those were the only two runs Rienzo allowed. He gave up five hits, walked two and struck out eight.

"He had some really good stuff today," Dunn said. "He pretty much has kept us in every ballgame."

The Sox scored three runs in the fifth inning off Royals right-hander Yordano Ventura. Flowers hit a solo home run, and Adam Eaton doubled and scored on Gordon Beckham's single. Beckham scored on Ventura's third wild pitch of the inning.

The Royals scored three runs in the eighth off Scott Downs and Frank Francisco. Zach Putnam entered with the runners on the corners and recorded the final two outs of the inning to preserve a 7-5 Sox lead.

Another step: Sox left-hander Chris Sale could be in line to return from the disabled list for the four-game home series against the Yankees, which starts Thursday, Ventura said.

Ventura said Sale, recovering from a flexor muscle strain, threw "free and easy" during his short bullpen session Tuesday, but he wasn't yet ready to confirm Sale's return date. He said the Sox will see how Sale feels Wednesday.

Happy place: Sox reliever Jake Petricka has one career victory and one career save — both at Kauffman Stadium.