Montoya was waived Friday, with the Oilers intending to send him to AHL Bakersfield.
Montoya (undisclosed) will dress as Cam Talbot's backup for Thursday's game against the Canucks.
Montoya (undisclosed) won't dress for Tuesday's game against Columbus.
Montoya turned aside 37 shots in Sunday's 3-1 loss to the Lightning.
Montoya will tend twine against the Lightning on Sunday, Bob Stauffer of the Oilers Radio Network reports.
Montoya stopped 41 of 46 shots in Saturday's shootout win over Anaheim.
Montoya will get the starting nod in Anaheim on Sunday, Jack Michaels of the Oilers Radio Network reports.
Montoya (undisclosed) will return from injury and back up Cam Talbot on Thursday against Colorado.
Montoya was injured in practice Friday, when he took a shot up high, Rob Tychkowski of the Edmonton Journal reports.
Montoya allowed five goals on 29 shots in Saturday's loss to the Sharks.