Cleveland's Jason Kipnis went 2 for 2 with two RBIs as the Indians began a seven-game trip with a victory that improved them to 78-68. Tampa Bay, at 79-66, is in the second wild-card slot. Cleveland closed within six games of idle Detroit in the AL Central.
Swisher, who sat out Wednesday's loss to Kansas City, hit his 18th homer with one out to open the scoring.
"I will do my best to forget it, but it was that bad that it will be hard to not lose any sleep tonight," Danks said.
After Kipnis singled and Carlos Santana walked, Raburn's line shot to left barely cleared the fence for his 16th homer that made it 4-0. After Kipnis drove in a run with a sacrifice fly in the fourth to extend Cleveland's lead to 7-2, the Indians ran away with seven runs in the fifth.
"We got to win guys, that's the bottom line. We've got to win ballgames. We put ourselves in great position and the one thing we're stressing in here is these years don't come around every year. There's not a guarantee that you're going to be fighting for a playoff spot every year," Swisher said.
NOTES: Injured Indians ace Justin Masterson (14-10) may have a chance to rejoin the team before the season ends, according to Francona. The right-hander, who leads Cleveland in wins, left a Sept. 2 game against Baltimore in the second inning with a strained left oblique muscle. He played catch up to 90 feet on Wednesday. "He had no issues and we'll just continue that progression," Francona said. "He did well. It's going to depend on how quickly he comes back." ... Swisher and Cabrera were back in the starting lineup after being held out Wednesday. Cabrera entered Thursday's game in a 3-for-27 slump. ... White Sox rookie INF Marcus Semien got his fourth career start and second straight at 3B after Conor Gillaspie made three errors on Tuesday. Semien doubled for his first extra-base hit and scored his first run. ... Cleveland RHP Danny Salazar (1-2) is scheduled to face Chicago LHP Hector Santiago (4-8) in the second game of the four-game series on Friday.