The 41-year-old recently left his post as the coach of Greek second division side Larissa to take up the position.
Coleman's appointment needs to be rubber-stamped by the executive of the Football Association of Wales before it is formally announced, according to the Daily Mail.
Speed was in charge of the Welsh side for nine months before he was found hanged in his Chester home in November, aged 42.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Manchester CityMan City | 32 | 22 | 7 | 3 | 76 | 32 | 44 | 73 |
| 2 | Arsenal | 32 | 22 | 5 | 5 | 75 | 26 | 49 | 71 |
| 3 | Liverpool | 32 | 21 | 8 | 3 | 72 | 31 | 41 | 71 |
| 4 | Aston Villa | 33 | 19 | 6 | 8 | 68 | 49 | 19 | 63 |
| 5 | Tottenham HotspurSpurs | 32 | 18 | 6 | 8 | 65 | 49 | 16 | 60 |
| 6 | Newcastle UnitedNewcastle | 32 | 15 | 5 | 12 | 69 | 52 | 17 | 50 |
| 7 | Manchester UnitedMan Utd | 32 | 15 | 5 | 12 | 47 | 48 | -1 | 50 |
| 8 | West Ham UnitedWest Ham | 33 | 13 | 9 | 11 | 52 | 58 | -6 | 48 |
| 9 | Chelsea | 31 | 13 | 8 | 10 | 61 | 52 | 9 | 47 |
| 10 | Brighton & Hove AlbionBrighton | 32 | 11 | 11 | 10 | 52 | 50 | 2 | 44 |
| 11 | Wolverhampton WanderersWolves | 32 | 12 | 7 | 13 | 46 | 51 | -5 | 43 |
| 12 | Fulham | 33 | 12 | 6 | 15 | 49 | 51 | -2 | 42 |
| 13 | Bournemouth | 32 | 11 | 9 | 12 | 47 | 57 | -10 | 42 |
| 14 | Crystal Palace | 32 | 8 | 9 | 15 | 37 | 54 | -17 | 33 |
| 15 | Brentford | 33 | 8 | 8 | 17 | 47 | 58 | -11 | 32 |
| 16 | Everton | 32 | 9 | 8 | 15 | 32 | 48 | -16 | 27 |
| 17 | Nottingham ForestNott'm Forest | 33 | 7 | 9 | 17 | 42 | 58 | -16 | 26 |
| 18 | Luton TownLuton | 33 | 6 | 7 | 20 | 46 | 70 | -24 | 25 |
| 19 | Burnley | 33 | 4 | 8 | 21 | 33 | 68 | -35 | 20 |
| 20 | Sheffield UnitedSheff Utd | 32 | 3 | 7 | 22 | 30 | 84 | -54 | 16 |
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