The 32-year-old's future at Upton Park is in doubt after talks over a new contract recently came to a halt.
With his current deal due to run out next month, the Baggies could now step in for the shotstopper, according to the Daily Mail.
Green was recently named in England's 23-man squad for Euro 2012.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Sheffield UnitedSheff Utd | 21 | 14 | 5 | 2 | 30 | 11 | 19 | 45 |
| 2 | Leeds UnitedLeeds | 21 | 12 | 6 | 3 | 37 | 15 | 22 | 42 |
| 3 | Sunderland | 21 | 11 | 7 | 3 | 32 | 17 | 15 | 40 |
| 4 | Burnley | 20 | 10 | 8 | 2 | 24 | 7 | 17 | 38 |
| 5 | Blackburn RoversBlackburn | 20 | 11 | 4 | 5 | 25 | 17 | 8 | 37 |
| 6 | Middlesbrough | 21 | 10 | 4 | 7 | 35 | 25 | 10 | 34 |
| 7 | West Bromwich AlbionWest Brom | 20 | 7 | 11 | 2 | 23 | 14 | 9 | 32 |
| 8 | Watford | 19 | 9 | 4 | 6 | 27 | 25 | 2 | 31 |
| 9 | Sheffield WednesdaySheff Weds | 21 | 8 | 5 | 8 | 26 | 30 | -4 | 29 |
| 10 | Swansea CitySwansea | 21 | 7 | 6 | 8 | 23 | 22 | 1 | 27 |
| 11 | Bristol City | 21 | 6 | 9 | 6 | 26 | 26 | 0 | 27 |
| 12 | Norwich CityNorwich | 20 | 6 | 8 | 6 | 35 | 30 | 5 | 26 |
| 13 | Millwall | 20 | 6 | 7 | 7 | 20 | 18 | 2 | 25 |
| 14 | Derby CountyDerby | 21 | 6 | 6 | 9 | 26 | 26 | 0 | 24 |
| 15 | Coventry CityCoventry | 21 | 6 | 6 | 9 | 27 | 30 | -3 | 24 |
| 16 | Preston North EndPreston | 21 | 4 | 11 | 6 | 21 | 27 | -6 | 23 |
| 17 | Stoke CityStoke | 21 | 5 | 7 | 9 | 23 | 28 | -5 | 22 |
| 18 | Queens Park RangersQPR | 21 | 4 | 10 | 7 | 21 | 27 | -6 | 22 |
| 19 | Luton TownLuton | 21 | 6 | 4 | 11 | 23 | 37 | -14 | 22 |
| 20 | Oxford UnitedOxford Utd | 20 | 4 | 6 | 10 | 21 | 33 | -12 | 18 |
| 21 | Cardiff CityCardiff | 20 | 4 | 6 | 10 | 19 | 32 | -13 | 18 |
| 22 | Portsmouth | 19 | 3 | 8 | 8 | 21 | 34 | -13 | 17 |
| 23 | Plymouth ArgylePlymouth | 20 | 4 | 5 | 11 | 19 | 42 | -23 | 17 |
| 24 | Hull City | 21 | 3 | 7 | 11 | 19 | 30 | -11 | 16 |
| > Championship Full Table | |||||||||
