Goalkeeper Archer has not played since their FA Cup fifth-round defeat of Leicester, because of a groin injury.
Morison started last Sunday's 6-0 defeat at Spurs, but came off with a calf problem and is battling to be fit.
Manager Neil Harris is otherwise expected to keep much of team that started at White Hart Lane.
Bury manager Lee Clark could have midfielders Jacob Mellis and Craig Jones back in contention.
Mellis suffered a leg injury in last weekend's goalless draw with Oldham and failed a late fitness test which kept him out of the 3-0 win over Bristol Rovers on Tuesday which moved the Shakers six points clear of the relegation zone.
Jones returned to training this week following a groin injury and could make the squad to face Millwall.
Winger Jack Mackreth has returned to Macclesfield on loan until the end of the season after making only three appearances since moving the other way for an initial fee of B£30,000 in January.