The 35-year-old is currently a free agent following his release from Craven Cottage earlier this month.
Rovers boss Steve Kean is looking to improve his squad in order to challenge for an immediate return to the Premier League next season and has offered Murphy a two-year deal, according to the Daily Mail.
Leicester City are also said to be interested in Murphy's signature.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| C | Leicester CityLeicester | 46 | 31 | 4 | 11 | 89 | 41 | 48 | 97 |
| P | Ipswich TownIpswich | 46 | 28 | 12 | 6 | 92 | 57 | 35 | 96 |
| 3 | Leeds UnitedLeeds | 46 | 27 | 9 | 10 | 81 | 43 | 38 | 90 |
| 4 | Southampton | 46 | 26 | 9 | 11 | 87 | 63 | 24 | 87 |
| 5 | West Bromwich AlbionWest Brom | 46 | 21 | 12 | 13 | 70 | 47 | 23 | 75 |
| 6 | Norwich CityNorwich | 46 | 21 | 10 | 15 | 79 | 64 | 15 | 73 |
| 7 | Hull City | 46 | 19 | 13 | 14 | 68 | 60 | 8 | 70 |
| 8 | Middlesbrough | 46 | 20 | 9 | 17 | 71 | 62 | 9 | 69 |
| 9 | Coventry CityCoventry | 46 | 17 | 13 | 16 | 70 | 59 | 11 | 64 |
| 10 | Preston North EndPreston | 46 | 18 | 9 | 19 | 56 | 67 | -11 | 63 |
| 11 | Bristol City | 46 | 17 | 11 | 18 | 53 | 51 | 2 | 62 |
| 12 | Cardiff CityCardiff | 46 | 19 | 5 | 22 | 53 | 70 | -17 | 62 |
| 13 | Millwall | 46 | 16 | 11 | 19 | 45 | 55 | -10 | 59 |
| 14 | Swansea CitySwansea | 46 | 15 | 12 | 19 | 59 | 65 | -6 | 57 |
| 15 | Watford | 46 | 13 | 17 | 16 | 61 | 61 | 0 | 56 |
| 16 | Sunderland | 46 | 16 | 8 | 22 | 52 | 54 | -2 | 56 |
| 17 | Stoke CityStoke | 46 | 15 | 11 | 20 | 49 | 60 | -11 | 56 |
| 18 | Queens Park RangersQPR | 46 | 15 | 11 | 20 | 47 | 58 | -11 | 56 |
| 19 | Blackburn RoversBlackburn | 46 | 14 | 11 | 21 | 60 | 74 | -14 | 53 |
| 20 | Sheffield WednesdaySheff Weds | 46 | 15 | 8 | 23 | 44 | 68 | -24 | 53 |
| 21 | Plymouth ArgylePlymouth | 46 | 13 | 12 | 21 | 59 | 70 | -11 | 51 |
| R | Birmingham CityBirmingham | 46 | 13 | 11 | 22 | 50 | 65 | -15 | 50 |
| 23 | Huddersfield TownHuddersfield | 46 | 9 | 18 | 19 | 48 | 77 | -29 | 45 |
| R | Rotherham UnitedRotherham | 46 | 5 | 12 | 29 | 37 | 89 | -52 | 27 |
| > Championship Full Table | |||||||||
