Beavan left Tuesday's game after four innings because of what was diagnosed as shoulder tendinitis. Making his first Mariners start this season after being recalled from Tacoma, Beavan gave up two runs in a 5-0 loss to the Texas Rangers.
Morrison, who hasn't played since leaving Monday's game, has a strained right hamstring. Manager Lloyd McClendon said he was concerned that Morrison could aggravate the injury during this weekend's series at Miami. "That's a big outfield there."
Rangers left-hander Joe Saunders cut short a bullpen session because of pain in his left ankle.
Saunders has been on the disabled list since being hit by a line drive in his only start, April 4 at Tampa Bay. An MRI exam showed only a bone bruise.