Liriano, who has been dealing with soreness in the back of his throwing shoulder for the past 10 days, missed his scheduled start on Saturday, with right-hander Anthony Swarzak making a spot start instead.
Swarzak, who took a no-hitter into the eighth inning and allowed just one hit over eight scoreless frames in that outing against the Angels, is scheduled to make his third start of the year in Liriano's place on Thursday against the Royals.
Liriano had been scheduled to throw a bullpen on Tuesday to test out his shoulder, but still felt sore while playing catch on Monday, so the Twins decided to place him on the disabled list. Liriano is eligible to return on June 7 and is expected to make his next turn in the rotation
"He still doesn't feel good enough," Twins manager Ron Gardenhire said. "So we'll DL him, and Swarzak will start in that spot. It's just not to the point where he wants to throw a bullpen or feels comfortable enough to throw one. So we'll back him off and skip another start and go from there. It's nothing serious."
Slama, meanwhile, posted a 3.70 ERA with 24 strikeouts and 11 walks in 24 1/3 innings with Rochester. He also pitched in five games with the Twins last year, compiling a 7.71 ERA in over 4 2/3 innings.