Hammers boss Sam Allardyce has previously worked with the former England shotstopper at Ewood Park.
Robinson could now be tempted to leave relegated Rovers if West Ham gain promotion to the Premier League via the playoffs, according to The Mirror.
Current keeper Robert Green is expected to leave Upton Park at the end of the season on a free transfer.
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 | |||||||||
