Campbell will be away from the Red Wings indefinitely after entering the NHL/NHLPA player assistance program, Chris Johnston of The Athletic reports Friday.
Campbell signed a one-year, $775,000 contract with the Red Wings on Monday.
Campbell was placed on unconditional waivers by the Oilers on Sunday for the purpose of buying out his contract.
Campbell was promoted from AHL Bakersfield on Sunday.
Campbell has a .935 save percentage in his last seven games with AHL Bakersfield, per Mark Spector of Sportsnet.
Campbell went unclaimed off the waiver wire and was reassigned to AHL Bakersfield on Wednesday.
Campbell was placed on waivers Tuesday for the purpose of assignment to AHL Bakersfield.
Campbell will patrol the home crease Saturday against Nashville, according to Oilers play-by-by announcer Jack Michaels.
Campbell is slated to start on the road versus Minnesota on Tuesday, according to Jessi Pierce of NHL.com.
Campbell made 22 saves in Thursday's 4-1 loss to the Flyers.