The visitors battled back gamely with strikes from Craig Davies and Ben Pringle as they stretched their unbeaten run to five matches after falling behind to first-half goals from Jay O’Shea and Neil Danns.
Bury dominated the first half and deservedly went ahead after 13 minutes when Oldham defender Wilfried Moimbe headed the ball straight into O’Shea’s path for the midfielder to fire home from 20 yards.
Oldham goalkeeper Johny Placide denied Harry Bunn with a superb save before the Shakers doubled their lead 11 minutes before half-time.
Danns ran at the heart of the defence before looping a shot over Placide, via a slight deflection from an away defender.
Oldham managed to halve the deficit four minutes before the interval when Davies tapped home after Duckens Nazon’s deflected shot fell kindly at his feet.
It was almost 2-2 shortly after the restart when Kean Bryan’s curling free-kick was brilliantly saved by Bury goalkeeper Connor Ripley.
However, the Latics got the reward their second-half display deserved when Pringle smashed home left-footed from 15 yards to move themselves two points away from the relegation zone.
England manager Gareth Southgate has claimed that the country needs to boot racism out of its own football before criticising World Cup hosts Russia.
Newcastle have been linked with a shock move for former Sunderland goalkeeper Simon Mignolet during the summer.