The 49-year-old is keen to step up into management and has his sights set on Elland Road, according to Sky Sports News.
Culverhouse served as Paul Lambert's assistant at Colchester United, Norwich City and Villa, but was sacked by the latter club earlier this year.
Leeds have been seeking a new manager since parting company with Dave Hockaday after just six games.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| C | Manchester CityMan City | 38 | 27 | 5 | 6 | 83 | 32 | 51 | 86 |
| 2 | Manchester UnitedMan Utd | 38 | 21 | 11 | 6 | 73 | 44 | 29 | 74 |
| 3 | Liverpool | 38 | 20 | 9 | 9 | 68 | 42 | 26 | 69 |
| 4 | Chelsea | 38 | 19 | 10 | 9 | 58 | 36 | 22 | 67 |
| 5 | Leicester CityLeicester | 38 | 20 | 6 | 12 | 68 | 50 | 18 | 66 |
| 6 | West Ham UnitedWest Ham | 38 | 19 | 8 | 11 | 62 | 47 | 15 | 65 |
| 7 | Tottenham HotspurSpurs | 38 | 18 | 8 | 12 | 68 | 45 | 23 | 62 |
| 8 | Arsenal | 38 | 18 | 7 | 13 | 55 | 39 | 16 | 61 |
| 9 | Leeds UnitedLeeds | 38 | 18 | 5 | 15 | 62 | 54 | 8 | 59 |
| 10 | Everton | 38 | 17 | 8 | 13 | 47 | 48 | -1 | 59 |
| 11 | Aston Villa | 38 | 16 | 7 | 15 | 55 | 46 | 9 | 55 |
| 12 | Newcastle UnitedNewcastle | 38 | 12 | 9 | 17 | 46 | 62 | -16 | 45 |
| 13 | Wolverhampton WanderersWolves | 38 | 12 | 9 | 17 | 36 | 52 | -16 | 45 |
| 14 | Crystal Palace | 38 | 12 | 8 | 18 | 41 | 66 | -25 | 44 |
| 15 | Southampton | 38 | 12 | 7 | 19 | 47 | 68 | -21 | 43 |
| 16 | Brighton & Hove AlbionBrighton | 38 | 9 | 14 | 15 | 40 | 46 | -6 | 41 |
| 17 | Burnley | 38 | 10 | 9 | 19 | 33 | 55 | -22 | 39 |
| R | Fulham | 38 | 5 | 13 | 20 | 27 | 53 | -26 | 28 |
| R | West Bromwich AlbionWest Brom | 38 | 5 | 11 | 22 | 35 | 76 | -41 | 26 |
| R | Sheffield UnitedSheff Utd | 38 | 7 | 2 | 29 | 20 | 63 | -43 | 23 |
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