Miller, who joined the Owls from Ipswich on a free transfer in the summer, sustained a hamstring injury in training.
He could be replaced by Sean McAllister in the starting line-up if he fails to make it, but manager Brian Laws could be boosted by the return of another midfielder, Michael Gray, who has missed the last two matches due to a hamstring strain.
Winger Etienne Esajas is pushing for a recall to the starting line-up after shaking off a knee injury, but the Owls will be without striker Akpo Sodje, who has joined Charlton on loan.
Laws' side are looking to secure their first league win in five matches having lost three and drawn one of their last four.
Kick-off is 5.20pm.