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 | 21 | 15 | 5 | 1 | 50 | 20 | 30 | 50 |
| 2 | Arsenal | 22 | 12 | 8 | 2 | 43 | 21 | 22 | 44 |
| 3 | Nottingham ForestNott'm Forest | 21 | 12 | 5 | 4 | 30 | 20 | 10 | 41 |
| 4 | Newcastle UnitedNewcastle | 22 | 11 | 5 | 6 | 38 | 26 | 12 | 38 |
| 5 | Chelsea | 21 | 10 | 7 | 4 | 41 | 26 | 15 | 37 |
| 6 | Bournemouth | 22 | 10 | 7 | 5 | 36 | 26 | 10 | 37 |
| 7 | Aston Villa | 22 | 10 | 6 | 6 | 33 | 34 | -1 | 36 |
| 8 | Manchester CityMan City | 21 | 10 | 5 | 6 | 38 | 29 | 9 | 35 |
| 9 | Fulham | 22 | 8 | 9 | 5 | 34 | 30 | 4 | 33 |
| 10 | Brighton & Hove AlbionBrighton | 21 | 7 | 10 | 4 | 32 | 29 | 3 | 31 |
| 11 | Brentford | 22 | 8 | 4 | 10 | 40 | 39 | 1 | 28 |
| 12 | Crystal Palace | 22 | 6 | 9 | 7 | 25 | 28 | -3 | 27 |
| 13 | Manchester UnitedMan Utd | 21 | 7 | 5 | 9 | 26 | 29 | -3 | 26 |
| 14 | West Ham UnitedWest Ham | 22 | 7 | 5 | 10 | 27 | 43 | -16 | 26 |
| 15 | Tottenham HotspurSpurs | 21 | 7 | 3 | 11 | 43 | 32 | 11 | 24 |
| 16 | Everton | 20 | 3 | 8 | 9 | 15 | 26 | -11 | 17 |
| 17 | Wolverhampton WanderersWolves | 21 | 4 | 4 | 13 | 31 | 48 | -17 | 16 |
| 18 | Ipswich TownIpswich | 21 | 3 | 7 | 11 | 20 | 37 | -17 | 16 |
| 19 | Leicester CityLeicester | 22 | 3 | 5 | 14 | 23 | 48 | -25 | 14 |
| 20 | Southampton | 21 | 1 | 3 | 17 | 13 | 47 | -34 | 6 |
| > Premier League Full Table | |||||||||
