The 26-year-old has fallen out of favour at St James' Park in recent weeks following the arrival of Mathieu Debuchy.
Fulham, West Bromwich Albion and Wigan Athletic are now all keen to sign the full-back, according to the Daily Mail.
Simpson has six months left on his current deal at Newcastle.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Liverpool | 19 | 14 | 4 | 1 | 47 | 19 | 28 | 46 |
| 2 | Arsenal | 20 | 11 | 7 | 2 | 39 | 18 | 21 | 40 |
| 3 | Nottingham ForestNott'm Forest | 19 | 11 | 4 | 4 | 26 | 19 | 7 | 37 |
| 4 | Chelsea | 20 | 10 | 6 | 4 | 39 | 24 | 15 | 36 |
| 5 | Newcastle UnitedNewcastle | 20 | 10 | 5 | 5 | 34 | 22 | 12 | 35 |
| 6 | Manchester CityMan City | 20 | 10 | 4 | 6 | 36 | 27 | 9 | 34 |
| 7 | Bournemouth | 20 | 9 | 6 | 5 | 30 | 23 | 7 | 33 |
| 8 | Aston Villa | 20 | 9 | 5 | 6 | 30 | 32 | -2 | 32 |
| 9 | Fulham | 20 | 7 | 9 | 4 | 30 | 27 | 3 | 30 |
| 10 | Brighton & Hove AlbionBrighton | 20 | 6 | 10 | 4 | 30 | 29 | 1 | 28 |
| 11 | Brentford | 20 | 8 | 3 | 9 | 38 | 35 | 3 | 27 |
| 12 | Tottenham HotspurSpurs | 20 | 7 | 3 | 10 | 42 | 30 | 12 | 24 |
| 13 | Manchester UnitedMan Utd | 20 | 6 | 5 | 9 | 23 | 28 | -5 | 23 |
| 14 | West Ham UnitedWest Ham | 20 | 6 | 5 | 9 | 24 | 39 | -15 | 23 |
| 15 | Crystal Palace | 20 | 4 | 9 | 7 | 21 | 28 | -7 | 21 |
| 16 | Everton | 19 | 3 | 8 | 8 | 15 | 25 | -10 | 17 |
| 17 | Wolverhampton WanderersWolves | 19 | 4 | 4 | 11 | 31 | 42 | -11 | 16 |
| 18 | Ipswich TownIpswich | 20 | 3 | 7 | 10 | 20 | 35 | -15 | 16 |
| 19 | Leicester CityLeicester | 20 | 3 | 5 | 12 | 23 | 44 | -21 | 14 |
| 20 | Southampton | 20 | 1 | 3 | 16 | 12 | 44 | -32 | 6 |
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