The Croatian only took charge of the East Londoners in the summer on a three-year deal.
However, having guided the team to sixth place in the Premier League, West Ham's owners are now keen to reward the 47-year-old with improved terms, according to The Mirror.
The report adds that the new deal will tie Bilic to the Olympic Stadium-bound club until 2021.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Liverpool | 31 | 22 | 7 | 2 | 72 | 30 | 42 | 73 |
| 2 | Arsenal | 31 | 17 | 11 | 3 | 56 | 26 | 30 | 62 |
| 3 | Nottingham ForestNott'm Forest | 31 | 17 | 6 | 8 | 51 | 37 | 14 | 57 |
| 4 | Chelsea | 31 | 15 | 8 | 8 | 54 | 37 | 17 | 53 |
| 5 | Newcastle UnitedNewcastle | 30 | 16 | 5 | 9 | 52 | 39 | 13 | 53 |
| 6 | Manchester CityMan City | 31 | 15 | 7 | 9 | 57 | 40 | 17 | 52 |
| 7 | Aston Villa | 31 | 14 | 9 | 8 | 46 | 46 | 0 | 51 |
| 8 | Fulham | 31 | 13 | 9 | 9 | 47 | 42 | 5 | 48 |
| 9 | Brighton & Hove AlbionBrighton | 31 | 12 | 11 | 8 | 49 | 47 | 2 | 47 |
| 10 | Bournemouth | 31 | 12 | 9 | 10 | 51 | 40 | 11 | 45 |
| 11 | Crystal Palace | 30 | 11 | 10 | 9 | 39 | 35 | 4 | 43 |
| 12 | Brentford | 31 | 12 | 6 | 13 | 51 | 47 | 4 | 42 |
| 13 | Manchester UnitedMan Utd | 31 | 10 | 8 | 13 | 37 | 41 | -4 | 38 |
| 14 | Tottenham HotspurSpurs | 31 | 11 | 4 | 16 | 58 | 45 | 13 | 37 |
| 15 | Everton | 31 | 7 | 14 | 10 | 33 | 38 | -5 | 35 |
| 16 | West Ham UnitedWest Ham | 31 | 9 | 8 | 14 | 35 | 52 | -17 | 35 |
| 17 | Wolverhampton WanderersWolves | 31 | 9 | 5 | 17 | 43 | 59 | -16 | 32 |
| 18 | Ipswich TownIpswich | 31 | 4 | 8 | 19 | 31 | 65 | -34 | 20 |
| 19 | Leicester CityLeicester | 31 | 4 | 5 | 22 | 25 | 70 | -45 | 17 |
| 20 | Southampton | 31 | 2 | 4 | 25 | 23 | 74 | -51 | 10 |
| > Premier League Full Table | |||||||||
