The 20-year-old, who recently rejected a new contract with the Shrimps, has put pen to paper on a two-year deal at Broadhall Way.
Burrow made 54 appearances during 18 months at Morecambe, scoring five goals.
He becomes Graham Westley's fifth signing of the summer, after Luke Jones, Oumare Tounkara, Sam Wedgbury and Simon Heslop.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Port Vale | 16 | 10 | 3 | 3 | 24 | 16 | 8 | 33 |
| 2 | Crewe AlexandraCrewe | 15 | 8 | 4 | 3 | 19 | 13 | 6 | 28 |
| 3 | Doncaster RoversDoncaster | 16 | 8 | 4 | 4 | 22 | 18 | 4 | 28 |
| 4 | Walsall | 14 | 8 | 3 | 3 | 27 | 15 | 12 | 27 |
| 5 | MK Dons | 16 | 8 | 3 | 5 | 27 | 19 | 8 | 27 |
| 6 | Notts County | 16 | 7 | 6 | 3 | 23 | 15 | 8 | 27 |
| 7 | Grimsby Town | 16 | 8 | 1 | 7 | 19 | 25 | -6 | 25 |
| 8 | AFC Wimbledon | 14 | 7 | 2 | 5 | 23 | 13 | 10 | 23 |
| 9 | Bradford CityBradford | 16 | 6 | 5 | 5 | 21 | 17 | 4 | 23 |
| 10 | Gillingham | 15 | 7 | 2 | 6 | 16 | 12 | 4 | 23 |
| 11 | Chesterfield | 16 | 5 | 7 | 4 | 29 | 20 | 9 | 22 |
| 12 | BarrowBarrow | 16 | 6 | 4 | 6 | 17 | 15 | 2 | 22 |
| 13 | Fleetwood TownFleetwood | 14 | 5 | 6 | 3 | 20 | 15 | 5 | 21 |
| 14 | Salford City | 16 | 5 | 6 | 5 | 15 | 18 | -3 | 21 |
| 15 | Newport CountyNewport | 16 | 6 | 2 | 8 | 19 | 26 | -7 | 20 |
| 16 | Accrington StanleyAccrington | 16 | 4 | 6 | 6 | 22 | 26 | -4 | 18 |
| 17 | Cheltenham TownCheltenham | 16 | 5 | 3 | 8 | 21 | 25 | -4 | 18 |
| 18 | Harrogate TownHarrogate | 16 | 5 | 3 | 8 | 14 | 22 | -8 | 18 |
| 19 | Tranmere RoversTranmere | 14 | 4 | 5 | 5 | 10 | 17 | -7 | 17 |
| 20 | Bromley | 15 | 3 | 7 | 5 | 17 | 19 | -2 | 16 |
| 21 | Colchester UnitedColchester | 15 | 2 | 8 | 5 | 18 | 22 | -4 | 14 |
| 22 | Swindon TownSwindon | 16 | 2 | 7 | 7 | 18 | 25 | -7 | 13 |
| 23 | Carlisle UnitedCarlisle | 16 | 3 | 3 | 10 | 14 | 29 | -15 | 12 |
| 24 | Morecambe | 16 | 2 | 4 | 10 | 14 | 27 | -13 | 10 |
| > League Two Full Table | |||||||||
