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 | |
| C | Stockport CountyStockport | 44 | 26 | 11 | 7 | 91 | 44 | 47 | 89 |
| P | Mansfield TownMansfield | 44 | 23 | 13 | 8 | 87 | 45 | 42 | 82 |
| P | Wrexham | 44 | 24 | 10 | 10 | 84 | 51 | 33 | 82 |
| 4 | MK Dons | 44 | 22 | 8 | 14 | 74 | 61 | 13 | 74 |
| 5 | Crewe AlexandraCrewe | 44 | 19 | 13 | 12 | 68 | 61 | 7 | 70 |
| 6 | BarrowBarrow | 43 | 18 | 14 | 11 | 58 | 49 | 9 | 68 |
| 7 | Crawley TownCrawley | 44 | 20 | 6 | 18 | 69 | 65 | 4 | 66 |
| 8 | Walsall | 44 | 18 | 11 | 15 | 66 | 65 | 1 | 65 |
| 9 | Doncaster RoversDoncaster | 43 | 19 | 7 | 17 | 63 | 63 | 0 | 64 |
| 10 | Gillingham | 44 | 18 | 9 | 17 | 43 | 53 | -10 | 63 |
| 11 | AFC Wimbledon | 44 | 16 | 14 | 14 | 57 | 47 | 10 | 62 |
| 12 | Harrogate TownHarrogate | 44 | 17 | 11 | 16 | 55 | 62 | -7 | 62 |
| 13 | Bradford CityBradford | 43 | 16 | 12 | 15 | 52 | 55 | -3 | 60 |
| 14 | Notts County | 44 | 17 | 7 | 20 | 88 | 85 | 3 | 58 |
| 15 | Morecambe | 44 | 17 | 9 | 18 | 63 | 76 | -13 | 57 |
| 16 | Newport CountyNewport | 44 | 16 | 7 | 21 | 61 | 71 | -10 | 55 |
| 17 | Tranmere RoversTranmere | 44 | 16 | 6 | 22 | 63 | 64 | -1 | 54 |
| 18 | Accrington StanleyAccrington | 44 | 15 | 9 | 20 | 57 | 66 | -9 | 54 |
| 19 | Swindon TownSwindon | 44 | 14 | 11 | 19 | 74 | 78 | -4 | 53 |
| 20 | Salford City | 44 | 12 | 11 | 21 | 63 | 80 | -17 | 47 |
| 21 | Grimsby Town | 44 | 10 | 16 | 18 | 55 | 72 | -17 | 46 |
| 22 | Colchester UnitedColchester | 43 | 11 | 11 | 21 | 57 | 74 | -17 | 44 |
| 23 | Sutton UnitedSutton | 44 | 9 | 13 | 22 | 53 | 78 | -25 | 40 |
| R | Forest Green RoversForest Green | 44 | 9 | 9 | 26 | 41 | 77 | -36 | 36 |
| > League Two Full Table | |||||||||
