The 21-year-old full-back had been linked with a move to Arsenal in recent weeks.
However, Chelsea have now emerged as favourites to sign the Ghana international, reports ESPN.
Rahman, who has 11 caps for Ghana, joined Augsburg from SpVgg Greuther Furth in 2014, and made 31 appearances for Markus Weinzierl's side last season.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Liverpool | 15 | 11 | 3 | 1 | 31 | 13 | 18 | 36 |
| 2 | Chelsea | 16 | 10 | 4 | 2 | 37 | 19 | 18 | 34 |
| 3 | Arsenal | 16 | 8 | 6 | 2 | 29 | 15 | 14 | 30 |
| 4 | Nottingham ForestNott'm Forest | 16 | 8 | 4 | 4 | 21 | 19 | 2 | 28 |
| 5 | Manchester CityMan City | 16 | 8 | 3 | 5 | 28 | 23 | 5 | 27 |
| 6 | Bournemouth | 16 | 7 | 4 | 5 | 24 | 21 | 3 | 25 |
| 7 | Aston Villa | 16 | 7 | 4 | 5 | 24 | 25 | -1 | 25 |
| 8 | Fulham | 16 | 6 | 6 | 4 | 24 | 22 | 2 | 24 |
| 9 | Brighton & Hove AlbionBrighton | 16 | 6 | 6 | 4 | 26 | 25 | 1 | 24 |
| 10 | Tottenham HotspurSpurs | 16 | 7 | 2 | 7 | 36 | 19 | 17 | 23 |
| 11 | Brentford | 16 | 7 | 2 | 7 | 32 | 30 | 2 | 23 |
| 12 | Newcastle UnitedNewcastle | 16 | 6 | 5 | 5 | 23 | 21 | 2 | 23 |
| 13 | Manchester UnitedMan Utd | 16 | 6 | 4 | 6 | 21 | 19 | 2 | 22 |
| 14 | West Ham UnitedWest Ham | 16 | 5 | 4 | 7 | 21 | 29 | -8 | 19 |
| 15 | Crystal Palace | 16 | 3 | 7 | 6 | 17 | 21 | -4 | 16 |
| 16 | Everton | 15 | 3 | 6 | 6 | 14 | 21 | -7 | 15 |
| 17 | Leicester CityLeicester | 16 | 3 | 5 | 8 | 21 | 34 | -13 | 14 |
| 18 | Ipswich TownIpswich | 16 | 2 | 6 | 8 | 16 | 28 | -12 | 12 |
| 19 | Wolverhampton WanderersWolves | 16 | 2 | 3 | 11 | 24 | 40 | -16 | 9 |
| 20 | Southampton | 16 | 1 | 2 | 13 | 11 | 36 | -25 | 5 |
| > Premier League Full Table | |||||||||
