Smith has started on the bench for the last two games following his move from Bury, but he changed the game in Saturday’s 1-0 win over Portsmouth.
Joe Newell also had a positive impact and will be pushing for a place in the starting XI.
The Millers, who are eight unbeaten, picked up no new injuries in the success over Pompey, so Darren Potter (Achilles) and Jamie Proctor (knee) are the only absentees.
Bradford boss Stuart McCall is still short of full-backs as his side bid to avoid a third straight league defeat.
Tony McMahon is out with a calf injury and fellow right-back Jacob Hansen spent the weekend in hospital due to glandular fever.
Left-back Adam Chicksen is still working his way back from a thigh injury which has kept him sidelined for the last three months.
Preston are reportedly weighing up whether or not to make a fourth offer for Peterborough United left-back Andrew Hughes.