Bury had to settle for a 0-0 draw at home to a Plymouth side also in Sky Bet League One's relegation zone.
The hosts dominated and hit the woodwork three times in the second half.
But Argyle hung on to halt a four-match losing streak and leave Bury seven without a win.
Striker Michael Smith had most of the hosts' chances, hooking an early Chris Humphrey cross over.
Josh Laurent twice tested Luke McCormick from distance while Argyle replied with Jamie Ness and Nadir Ciftci going close.
Smith then headed...