The 19-year-old, who is the son of Sunderland manager Gus Poyet, turned down fresh terms with the Addicks last week.
According to talkSPORT, the starlet, who was named Charlton's Player of the Year last season, has agreed a four-year deal with the Hammers.
Poyet is also said to have attracted interest from Borussia Dortmund and Monaco.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Manchester CityMan City | 32 | 22 | 7 | 3 | 76 | 32 | 44 | 73 |
| 2 | Arsenal | 32 | 22 | 5 | 5 | 75 | 26 | 49 | 71 |
| 3 | Liverpool | 32 | 21 | 8 | 3 | 72 | 31 | 41 | 71 |
| 4 | Aston Villa | 33 | 19 | 6 | 8 | 68 | 49 | 19 | 63 |
| 5 | Tottenham HotspurSpurs | 32 | 18 | 6 | 8 | 65 | 49 | 16 | 60 |
| 6 | Newcastle UnitedNewcastle | 32 | 15 | 5 | 12 | 69 | 52 | 17 | 50 |
| 7 | Manchester UnitedMan Utd | 32 | 15 | 5 | 12 | 47 | 48 | -1 | 50 |
| 8 | West Ham UnitedWest Ham | 33 | 13 | 9 | 11 | 52 | 58 | -6 | 48 |
| 9 | Chelsea | 31 | 13 | 8 | 10 | 61 | 52 | 9 | 47 |
| 10 | Brighton & Hove AlbionBrighton | 32 | 11 | 11 | 10 | 52 | 50 | 2 | 44 |
| 11 | Wolverhampton WanderersWolves | 32 | 12 | 7 | 13 | 46 | 51 | -5 | 43 |
| 12 | Fulham | 33 | 12 | 6 | 15 | 49 | 51 | -2 | 42 |
| 13 | Bournemouth | 32 | 11 | 9 | 12 | 47 | 57 | -10 | 42 |
| 14 | Crystal Palace | 32 | 8 | 9 | 15 | 37 | 54 | -17 | 33 |
| 15 | Brentford | 33 | 8 | 8 | 17 | 47 | 58 | -11 | 32 |
| 16 | Everton | 32 | 9 | 8 | 15 | 32 | 48 | -16 | 27 |
| 17 | Nottingham ForestNott'm Forest | 33 | 7 | 9 | 17 | 42 | 58 | -16 | 26 |
| 18 | Luton TownLuton | 33 | 6 | 7 | 20 | 46 | 70 | -24 | 25 |
| 19 | Burnley | 33 | 4 | 8 | 21 | 33 | 68 | -35 | 20 |
| 20 | Sheffield UnitedSheff Utd | 32 | 3 | 7 | 22 | 30 | 84 | -54 | 16 |
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