The 31-year-old arrived on a free transfer in 2012, but has made just one appearance for the club this season.
"Adam leaves Gigg Lane with the club's best wishes and our thanks for his service to Bury FC," read a statement from the club.
Lockwood, who began his professional career at Reading, has also previously played for Yeovil Town and Doncaster Rovers.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Gillingham | 9 | 6 | 1 | 2 | 12 | 3 | 9 | 19 |
| 2 | Notts County | 9 | 5 | 3 | 1 | 17 | 8 | 9 | 18 |
| 3 | Walsall | 9 | 6 | 0 | 3 | 17 | 10 | 7 | 18 |
| 4 | BarrowBarrow | 9 | 5 | 1 | 3 | 11 | 6 | 5 | 16 |
| 5 | Doncaster RoversDoncaster | 9 | 5 | 1 | 3 | 12 | 12 | 0 | 16 |
| 6 | Fleetwood TownFleetwood | 8 | 4 | 3 | 1 | 16 | 9 | 7 | 15 |
| 7 | Port Vale | 9 | 4 | 3 | 2 | 14 | 12 | 2 | 15 |
| 8 | Grimsby Town | 9 | 5 | 0 | 4 | 13 | 14 | -1 | 15 |
| 9 | Newport CountyNewport | 9 | 5 | 0 | 4 | 15 | 17 | -2 | 15 |
| 10 | Chesterfield | 9 | 3 | 4 | 2 | 15 | 8 | 7 | 13 |
| 11 | AFC Wimbledon | 6 | 4 | 1 | 1 | 9 | 4 | 5 | 13 |
| 12 | Crewe AlexandraCrewe | 8 | 4 | 1 | 3 | 8 | 9 | -1 | 13 |
| 13 | Bradford CityBradford | 9 | 3 | 3 | 3 | 11 | 10 | 1 | 12 |
| 14 | MK Dons | 9 | 3 | 2 | 4 | 12 | 11 | 1 | 11 |
| 15 | Colchester UnitedColchester | 9 | 2 | 4 | 3 | 13 | 15 | -2 | 10 |
| 16 | Cheltenham TownCheltenham | 9 | 3 | 1 | 5 | 11 | 14 | -3 | 10 |
| 17 | Tranmere RoversTranmere | 8 | 2 | 4 | 2 | 4 | 8 | -4 | 10 |
| 18 | Harrogate TownHarrogate | 9 | 3 | 1 | 5 | 9 | 16 | -7 | 10 |
| 19 | Bromley | 9 | 2 | 3 | 4 | 12 | 14 | -2 | 9 |
| 20 | Salford City | 8 | 2 | 3 | 3 | 5 | 9 | -4 | 9 |
| 21 | Swindon TownSwindon | 9 | 1 | 4 | 4 | 9 | 13 | -4 | 7 |
| 22 | Carlisle UnitedCarlisle | 9 | 2 | 0 | 7 | 10 | 19 | -9 | 6 |
| 23 | Morecambe | 9 | 0 | 4 | 5 | 7 | 12 | -5 | 4 |
| 24 | Accrington StanleyAccrington | 8 | 0 | 3 | 5 | 9 | 18 | -9 | 3 |
| > League Two Full Table | |||||||||
