Kirkman has never pitched in the majors. He joined the Rangers for their game against the Baltimore Orioles on Friday night and is expected to work out of the bullpen.
The 23-year-old Kirkman went 13-3 with a 3.09 ERA for Oklahoma City. He was a starter before moving to the bullpen on Aug. 13.
Holland was recalled from Oklahoma City on Wednesday and lost at Tampa Bay in his only start.
In other news, the Rangers intend activate Rich Harden from the disabled list Monday and start the right-hander that night against Minnesota. He's been out with a shoulder injury.