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 | |
| 1 | Birmingham CityBirmingham | 36 | 25 | 8 | 3 | 59 | 24 | 35 | 83 |
| 2 | Wycombe WanderersWycombe | 37 | 20 | 11 | 6 | 64 | 36 | 28 | 71 |
| 3 | Wrexham | 37 | 21 | 8 | 8 | 51 | 30 | 21 | 71 |
| 4 | Charlton AthleticCharlton | 37 | 19 | 9 | 9 | 49 | 32 | 17 | 66 |
| 5 | Stockport CountyStockport | 37 | 18 | 11 | 8 | 53 | 34 | 19 | 65 |
| 6 | Huddersfield TownHuddersfield | 37 | 18 | 7 | 12 | 52 | 34 | 18 | 61 |
| 7 | Bolton WanderersBolton | 37 | 18 | 6 | 13 | 59 | 55 | 4 | 60 |
| 8 | Reading | 37 | 16 | 11 | 10 | 52 | 46 | 6 | 59 |
| 9 | Leyton Orient | 37 | 17 | 5 | 15 | 53 | 38 | 15 | 56 |
| 10 | Barnsley | 37 | 15 | 7 | 15 | 51 | 53 | -2 | 52 |
| 11 | Blackpool | 37 | 12 | 15 | 10 | 55 | 50 | 5 | 51 |
| 12 | Lincoln CityLincoln | 37 | 13 | 10 | 14 | 53 | 45 | 8 | 49 |
| 13 | Stevenage | 37 | 13 | 10 | 14 | 35 | 38 | -3 | 49 |
| 14 | Rotherham UnitedRotherham | 37 | 12 | 9 | 16 | 42 | 45 | -3 | 45 |
| 15 | Mansfield TownMansfield | 37 | 12 | 8 | 17 | 43 | 51 | -8 | 44 |
| 16 | Exeter CityExeter | 36 | 12 | 8 | 16 | 40 | 51 | -11 | 44 |
| 17 | Wigan AthleticWigan | 36 | 11 | 10 | 15 | 33 | 36 | -3 | 43 |
| 18 | Peterborough UnitedPeterborough | 36 | 11 | 9 | 16 | 53 | 60 | -7 | 42 |
| 19 | Northampton TownNorthampton | 37 | 10 | 12 | 15 | 37 | 54 | -17 | 42 |
| 20 | Bristol Rovers | 37 | 12 | 6 | 19 | 39 | 60 | -21 | 42 |
| 21 | Burton Albion | 37 | 8 | 12 | 17 | 38 | 53 | -15 | 36 |
| 22 | Crawley TownCrawley | 37 | 7 | 9 | 21 | 39 | 71 | -32 | 30 |
| 23 | Cambridge UnitedCambridge | 37 | 7 | 8 | 22 | 35 | 61 | -26 | 29 |
| 24 | Shrewsbury TownShrewsbury | 37 | 7 | 7 | 23 | 34 | 62 | -28 | 28 |
| > League One Full Table | |||||||||
