The game at Gigg Lane will kick off at 7pm.
Barry Lewtas’ side reached the last eight of the competition after a 2-0 defeat of Wigan Athletic last week.
The young Reds have also enjoyed wins over Portsmouth (3-2) and Accrington Stanley (4-0) in previous rounds of the competition.
Bury claimed a 2-0 victory away at Preston in their last-16 encounter.
The quarter-final tie must be decided on the night with extra-time and penalties a possibility.