The Ivory Coast international, who scored 13 goals last season, had been tipped to follow former boss Roberto Martinez to Everton.
However, the Hammers are now interested in bringing the 29-year-old to Upton Park, according to The Mirror.
Kone moved to Wigan on a three-year deal from Sevilla last summer for around £2.7m.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| C | Portsmouth | 46 | 28 | 13 | 5 | 78 | 41 | 37 | 97 |
| P | Derby CountyDerby | 46 | 28 | 8 | 10 | 78 | 37 | 41 | 92 |
| 3 | Bolton WanderersBolton | 46 | 25 | 12 | 9 | 86 | 51 | 35 | 87 |
| 4 | Peterborough UnitedPeterborough | 46 | 25 | 9 | 12 | 89 | 61 | 28 | 84 |
| 5 | Oxford UnitedOxford Utd | 46 | 22 | 11 | 13 | 79 | 56 | 23 | 77 |
| 6 | Barnsley | 46 | 21 | 13 | 12 | 82 | 64 | 18 | 76 |
| 7 | Lincoln CityLincoln | 46 | 20 | 14 | 12 | 65 | 40 | 25 | 74 |
| 8 | Blackpool | 46 | 21 | 10 | 15 | 65 | 48 | 17 | 73 |
| 9 | Stevenage | 46 | 19 | 14 | 13 | 57 | 46 | 11 | 71 |
| 10 | Wycombe WanderersWycombe | 46 | 17 | 14 | 15 | 60 | 55 | 5 | 65 |
| 11 | Leyton Orient | 46 | 18 | 11 | 17 | 53 | 55 | -2 | 65 |
| 12 | Wigan AthleticWigan | 46 | 20 | 10 | 16 | 63 | 56 | 7 | 62 |
| 13 | Exeter CityExeter | 46 | 17 | 10 | 19 | 46 | 61 | -15 | 61 |
| 14 | Northampton TownNorthampton | 46 | 17 | 9 | 20 | 57 | 66 | -9 | 60 |
| 15 | Bristol Rovers | 46 | 16 | 9 | 21 | 52 | 68 | -16 | 57 |
| 16 | Charlton AthleticCharlton | 46 | 11 | 20 | 15 | 64 | 65 | -1 | 53 |
| 17 | Reading | 46 | 16 | 11 | 19 | 68 | 70 | -2 | 53 |
| 18 | Cambridge UnitedCambridge | 46 | 12 | 12 | 22 | 39 | 61 | -22 | 48 |
| 19 | Shrewsbury TownShrewsbury | 46 | 13 | 9 | 24 | 35 | 67 | -32 | 48 |
| 20 | Burton Albion | 46 | 12 | 10 | 24 | 39 | 67 | -28 | 46 |
| R | Cheltenham TownCheltenham | 46 | 12 | 8 | 26 | 41 | 65 | -24 | 44 |
| R | Fleetwood TownFleetwood | 46 | 10 | 13 | 23 | 49 | 72 | -23 | 43 |
| R | Port Vale | 46 | 10 | 11 | 25 | 41 | 74 | -33 | 41 |
| R | Carlisle UnitedCarlisle | 46 | 7 | 9 | 30 | 41 | 81 | -40 | 30 |
| > League One Full Table | |||||||||
