Leon Clarke scored the only goal of the game against Colchester United as Bury stretched their unbeaten away run to 17 matches.
Bury overcame a stern test at Bramall Lane on Saturday to preserve a 15-match unbeaten away run as they triumphed against Sheffield United.
Bury’s players will contribute financially for the away trip to Portsmouth on Saturday in a bid to maintain their promotion push, according to manager David Flitcroft.
Bury have rediscovered their early season form, when they went on an eight-match unbeaten run, by winning their last four games.
Tom Soares’ early header gave the Shakers victory against Luton Town, a result that helped Flitcroft’s charges move level on points with the Hatters as they extended their winning streak to four.