Hume, who recently extended his loan from Preston until the end of the season, was ineligible against his parent club on Saturday.
The Canada international striker may struggle to get straight back into the starting line-up after Rovers won 3-0 at Deepdale.
Manager Dean Saunders is hoping to have James Coppinger available after recalling the midfielder from his loan spell at Nottingham Forest on Friday.
The 31-year-old made only six appearances in just under four months for the npower Championship club and his inclusion against the Blades is subject to Football League approval.
Midfielder Martin Woods is still nursing a thigh injury and will remain on the sidelines for another week.