Quinn is nursing a knock following the 2-1 win at Bournemouth on Saturday and Rovers boss Dean Saunders will check on the full-back before finalising his plans for Tuesday night.
Captain Rob Jones overcame the calf and ankle problems that forced him off at half-time in the 3-0 defeat at MK Dons to play the full 90 minutes against the Cherries.
Meanwhile, fellow centre-half Jamie McCombe has recovered from a fractured bone in his back and resumed training but he is not yet ready to be considered for first-team selection.
Winger Kyle Bennett will also miss out again as he recovers from a knee injury.
With snow forecast for Monday night, Doncaster will conduct a pitch inspection at midday on Tuesday to determine whether the game will go ahead.