Capps experienced a setback in his one-inning stint against the Reds on Saturday after being held out of action for a week because of the inflammation in his pitching shoulder.
He feared it was something worse but was happy when he received the results from his MRI exam taken over the weekend. He said he's scheduled to get a cortisone shot on Monday or Tuesday.
"Today was a pretty good day," Capps said. "I was a little uneasy about what to expect. I got some good news that it's just inflammation and things like that. So it'll be mostly ice and rest for the next couple days and we'll go from there."
Capps said he plans to start throwing again by the end of the weekend with the hopes of going out on a rehab assignment during the All-Star break and rejoining the team in mid-July. He's eligible to come off the DL on July 9, but the Twins are off from July 9-12 before hosting the A's on July 13.
With Capps out, the Twins will continue to use left-hander Glen Perkins and right-hander Jared Burton as co-closers.
"We'll mix and match," Twins manager Ron Gardenhire said. "Whoever in the eighth inning doesn't pitch in a situational [role] is going to close it. It's nice to have to two guys who can throw the ball like that and make pitches when they need to."