Perkins leads the American League with 12 saves, and has a 3.54 ERA in 20 appearances. The left-hander has struck out 29 and walked just three while serving up one homer in 20 1/3 innings.
"You won't see him out there [Sunday] so don't play him [on your fantasy team]," Twins manager Ron Gardenhire said jokingly.
Rhett Bollinger is a reporter for MLB.com. Read his blog, Bollinger Beat, and follow him on Twitter @RhettBollinger. This story was not subject to the approval of Major League Baseball or its clubs.