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 | Port Vale | 16 | 10 | 3 | 3 | 24 | 16 | 8 | 33 |
| 2 | Walsall | 15 | 9 | 3 | 3 | 28 | 15 | 13 | 30 |
| 3 | Doncaster RoversDoncaster | 17 | 8 | 5 | 4 | 22 | 18 | 4 | 29 |
| 4 | Notts County | 17 | 7 | 7 | 3 | 23 | 15 | 8 | 28 |
| 5 | Crewe AlexandraCrewe | 15 | 8 | 4 | 3 | 19 | 13 | 6 | 28 |
| 6 | MK Dons | 16 | 8 | 3 | 5 | 27 | 19 | 8 | 27 |
| 7 | Chesterfield | 17 | 6 | 7 | 4 | 30 | 20 | 10 | 25 |
| 8 | Grimsby Town | 17 | 8 | 1 | 8 | 19 | 26 | -7 | 25 |
| 9 | AFC Wimbledon | 15 | 7 | 2 | 6 | 23 | 14 | 9 | 23 |
| 10 | Bradford CityBradford | 16 | 6 | 5 | 5 | 21 | 17 | 4 | 23 |
| 11 | Gillingham | 16 | 7 | 2 | 7 | 17 | 14 | 3 | 23 |
| 12 | BarrowBarrow | 17 | 6 | 4 | 7 | 17 | 16 | 1 | 22 |
| 13 | Fleetwood TownFleetwood | 14 | 5 | 6 | 3 | 20 | 15 | 5 | 21 |
| 14 | Cheltenham TownCheltenham | 17 | 6 | 3 | 8 | 22 | 25 | -3 | 21 |
| 15 | Salford City | 16 | 5 | 6 | 5 | 15 | 18 | -3 | 21 |
| 16 | Newport CountyNewport | 17 | 6 | 3 | 8 | 19 | 26 | -7 | 21 |
| 17 | Harrogate TownHarrogate | 17 | 6 | 3 | 8 | 16 | 23 | -7 | 21 |
| 18 | Accrington StanleyAccrington | 16 | 4 | 6 | 6 | 22 | 26 | -4 | 18 |
| 19 | Colchester UnitedColchester | 16 | 3 | 8 | 5 | 19 | 22 | -3 | 17 |
| 20 | Tranmere RoversTranmere | 15 | 4 | 5 | 6 | 10 | 18 | -8 | 17 |
| 21 | Bromley | 15 | 3 | 7 | 5 | 17 | 19 | -2 | 16 |
| 22 | Swindon TownSwindon | 17 | 2 | 7 | 8 | 20 | 28 | -8 | 13 |
| 23 | Morecambe | 17 | 3 | 4 | 10 | 17 | 29 | -12 | 13 |
| 24 | Carlisle UnitedCarlisle | 17 | 3 | 4 | 10 | 14 | 29 | -15 | 13 |
| > League Two Full Table | |||||||||
