Forest manager Billy Davies is keen on bringing the 29-year-old back to City Ground, according to BBC East Midlands Today.
However, Leicester want to keep hold of the defender who was voted the club's Player of the Season last term.
Morgan spent 10 years with Forest before joining Leicester in 2012.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Liverpool | 20 | 14 | 5 | 1 | 48 | 20 | 28 | 47 |
| 2 | Nottingham ForestNott'm Forest | 21 | 12 | 5 | 4 | 30 | 20 | 10 | 41 |
| 3 | Arsenal | 20 | 11 | 7 | 2 | 39 | 18 | 21 | 40 |
| 4 | Chelsea | 21 | 10 | 7 | 4 | 41 | 26 | 15 | 37 |
| 5 | Newcastle UnitedNewcastle | 20 | 10 | 5 | 5 | 34 | 22 | 12 | 35 |
| 6 | Manchester CityMan City | 21 | 10 | 5 | 6 | 38 | 29 | 9 | 35 |
| 7 | Bournemouth | 21 | 9 | 7 | 5 | 32 | 25 | 7 | 34 |
| 8 | Aston Villa | 20 | 9 | 5 | 6 | 30 | 32 | -2 | 32 |
| 9 | Fulham | 21 | 7 | 9 | 5 | 32 | 30 | 2 | 30 |
| 10 | Brentford | 21 | 8 | 4 | 9 | 40 | 37 | 3 | 28 |
| 11 | Brighton & Hove AlbionBrighton | 20 | 6 | 10 | 4 | 30 | 29 | 1 | 28 |
| 12 | West Ham UnitedWest Ham | 21 | 7 | 5 | 9 | 27 | 41 | -14 | 26 |
| 13 | Tottenham HotspurSpurs | 20 | 7 | 3 | 10 | 42 | 30 | 12 | 24 |
| 14 | Manchester UnitedMan Utd | 20 | 6 | 5 | 9 | 23 | 28 | -5 | 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 | 20 | 4 | 4 | 12 | 31 | 45 | -14 | 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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