Morris has had personal training with caretaker boss and club physio Nigel Adkins, and is fit to return to the side to face the Dragons at Glanford Park.
Left-back Marcus Williams is also back after missing last week's 2-0 win at Yeovil, although backup defender Lee Ridley twisted his ankle while playing for the reserves against York in midweek and is unlikely to feature.
Wrexham will welcome back striker Lee McEvilly after a long-term foot injury.
