The Black Cats want the Scot to replace Asamoah Gyan, who completed his move to Al Ain on Friday.
According to The Mirror, Martin O'Neill wants to use some of the cash from the Ghanaian's sale to swoop for Fletcher.
Wolves are believed to value the 25-year-old, who recently denied handing in a transfer request at Molineux, at £10m.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Liverpool | 12 | 10 | 1 | 1 | 24 | 8 | 16 | 31 |
| 2 | Manchester CityMan City | 12 | 7 | 2 | 3 | 22 | 17 | 5 | 23 |
| 3 | Chelsea | 12 | 6 | 4 | 2 | 23 | 14 | 9 | 22 |
| 4 | Arsenal | 12 | 6 | 4 | 2 | 21 | 12 | 9 | 22 |
| 5 | Brighton & Hove AlbionBrighton | 12 | 6 | 4 | 2 | 21 | 16 | 5 | 22 |
| 6 | Tottenham HotspurSpurs | 12 | 6 | 1 | 5 | 27 | 13 | 14 | 19 |
| 7 | Nottingham ForestNott'm Forest | 12 | 5 | 4 | 3 | 15 | 13 | 2 | 19 |
| 8 | Aston Villa | 12 | 5 | 4 | 3 | 19 | 19 | 0 | 19 |
| 9 | Fulham | 12 | 5 | 3 | 4 | 17 | 17 | 0 | 18 |
| 10 | Newcastle UnitedNewcastle | 12 | 5 | 3 | 4 | 13 | 13 | 0 | 18 |
| 11 | Brentford | 12 | 5 | 2 | 5 | 22 | 22 | 0 | 17 |
| 12 | Manchester UnitedMan Utd | 12 | 4 | 4 | 4 | 13 | 13 | 0 | 16 |
| 13 | Bournemouth | 12 | 4 | 3 | 5 | 16 | 17 | -1 | 15 |
| 14 | West Ham UnitedWest Ham | 12 | 4 | 3 | 5 | 15 | 19 | -4 | 15 |
| 15 | Everton | 12 | 2 | 5 | 5 | 10 | 17 | -7 | 11 |
| 16 | Leicester CityLeicester | 12 | 2 | 4 | 6 | 15 | 23 | -8 | 10 |
| 17 | Wolverhampton WanderersWolves | 12 | 2 | 3 | 7 | 20 | 28 | -8 | 9 |
| 18 | Ipswich TownIpswich | 12 | 1 | 6 | 5 | 13 | 23 | -10 | 9 |
| 19 | Crystal Palace | 12 | 1 | 5 | 6 | 10 | 17 | -7 | 8 |
| 20 | Southampton | 12 | 1 | 1 | 10 | 9 | 24 | -15 | 4 |
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