R's boss Mark Hughes is keen to team up again with the midfielder after the pair previously worked together at Craven Cottage.
However, the Londoners will have to battle it out with Blackburn Rovers for the 35-year-old's signature, according to The Mirror.
Murphy joined the Cottagers from Tottenham Hotspur in 2007.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Leeds UnitedLeeds | 16 | 9 | 5 | 2 | 28 | 12 | 16 | 32 |
| 2 | Sunderland | 16 | 9 | 5 | 2 | 26 | 12 | 14 | 32 |
| 3 | Sheffield UnitedSheff Utd | 16 | 10 | 4 | 2 | 21 | 9 | 12 | 32 |
| 4 | Burnley | 16 | 8 | 6 | 2 | 19 | 6 | 13 | 30 |
| 5 | Middlesbrough | 16 | 8 | 3 | 5 | 29 | 19 | 10 | 27 |
| 6 | West Bromwich AlbionWest Brom | 16 | 6 | 8 | 2 | 18 | 11 | 7 | 26 |
| 7 | Watford | 16 | 8 | 2 | 6 | 25 | 24 | 1 | 26 |
| 8 | Millwall | 16 | 6 | 6 | 4 | 19 | 14 | 5 | 24 |
| 9 | Blackburn RoversBlackburn | 15 | 6 | 4 | 5 | 19 | 17 | 2 | 22 |
| 10 | Bristol City | 16 | 5 | 7 | 4 | 20 | 20 | 0 | 22 |
| 11 | Derby CountyDerby | 16 | 5 | 5 | 6 | 20 | 20 | 0 | 20 |
| 12 | Stoke CityStoke | 16 | 5 | 5 | 6 | 19 | 20 | -1 | 20 |
| 13 | Norwich CityNorwich | 16 | 4 | 7 | 5 | 25 | 24 | 1 | 19 |
| 14 | Swansea CitySwansea | 16 | 5 | 4 | 7 | 14 | 14 | 0 | 19 |
| 15 | Sheffield WednesdaySheff Weds | 16 | 5 | 4 | 7 | 18 | 26 | -8 | 19 |
| 16 | Luton TownLuton | 16 | 5 | 3 | 8 | 18 | 26 | -8 | 18 |
| 17 | Coventry CityCoventry | 16 | 4 | 5 | 7 | 22 | 23 | -1 | 17 |
| 18 | Oxford UnitedOxford Utd | 16 | 4 | 5 | 7 | 19 | 24 | -5 | 17 |
| 19 | Plymouth ArgylePlymouth | 16 | 4 | 5 | 7 | 17 | 28 | -11 | 17 |
| 20 | Preston North EndPreston | 16 | 3 | 7 | 6 | 16 | 24 | -8 | 16 |
| 21 | Cardiff CityCardiff | 16 | 4 | 4 | 8 | 15 | 24 | -9 | 16 |
| 22 | Hull City | 16 | 3 | 6 | 7 | 16 | 21 | -5 | 15 |
| 23 | Portsmouth | 15 | 2 | 6 | 7 | 16 | 28 | -12 | 12 |
| 24 | Queens Park RangersQPR | 16 | 1 | 8 | 7 | 13 | 26 | -13 | 11 |
| > Championship Full Table | |||||||||
