Perkins had been dealing with inflammation in his left forearm dating back to his relief appearance on Sunday, but after two days of rest and medicine, the inflammation went away.
"We got great news on Perk," Twins manager Ron Gardenhire said. "He threw a 40-pitch session out there in the bullpen there in Minnesota, and everything went great. He didn't feel anything, and the doctor said he looks great."
Perkins is expected to be available to pitch in relief on Thursday. He last pitched against the Rangers on Sunday, and allowed three runs without recording an out.