The 18-year-old has made 10 senior appearances for the Hammers since January 2014.
Burke could make his debut for Bradford on Saturday when they travel to Barnsley in League One.
West Ham are back in Premier League action this weekend at home to Bournemouth.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Liverpool | 29 | 21 | 7 | 1 | 69 | 27 | 42 | 70 |
| 2 | Arsenal | 29 | 16 | 10 | 3 | 53 | 24 | 29 | 58 |
| 3 | Nottingham ForestNott'm Forest | 29 | 16 | 6 | 7 | 49 | 35 | 14 | 54 |
| 4 | Chelsea | 29 | 14 | 7 | 8 | 53 | 37 | 16 | 49 |
| 5 | Manchester CityMan City | 29 | 14 | 6 | 9 | 55 | 40 | 15 | 48 |
| 6 | Newcastle UnitedNewcastle | 28 | 14 | 5 | 9 | 47 | 38 | 9 | 47 |
| 7 | Brighton & Hove AlbionBrighton | 29 | 12 | 11 | 6 | 48 | 42 | 6 | 47 |
| 8 | Fulham | 29 | 12 | 9 | 8 | 43 | 38 | 5 | 45 |
| 9 | Aston Villa | 29 | 12 | 9 | 8 | 41 | 45 | -4 | 45 |
| 10 | Bournemouth | 29 | 12 | 8 | 9 | 48 | 36 | 12 | 44 |
| 11 | Brentford | 29 | 12 | 5 | 12 | 50 | 45 | 5 | 41 |
| 12 | Crystal Palace | 28 | 10 | 9 | 9 | 36 | 33 | 3 | 39 |
| 13 | Manchester UnitedMan Utd | 29 | 10 | 7 | 12 | 37 | 40 | -3 | 37 |
| 14 | Tottenham HotspurSpurs | 29 | 10 | 4 | 15 | 55 | 43 | 12 | 34 |
| 15 | Everton | 29 | 7 | 13 | 9 | 32 | 36 | -4 | 34 |
| 16 | West Ham UnitedWest Ham | 29 | 9 | 7 | 13 | 33 | 49 | -16 | 34 |
| 17 | Wolverhampton WanderersWolves | 29 | 7 | 5 | 17 | 40 | 58 | -18 | 26 |
| 18 | Ipswich TownIpswich | 29 | 3 | 8 | 18 | 28 | 62 | -34 | 17 |
| 19 | Leicester CityLeicester | 29 | 4 | 5 | 20 | 25 | 65 | -40 | 17 |
| 20 | Southampton | 29 | 2 | 3 | 24 | 21 | 70 | -49 | 9 |
| > Premier League Full Table | |||||||||
