The 27-year-old has become a key component of the Reds' defence since his move from Danish side Brondby.
That form has apparently caught the attention of Jose Mourinho, The Mirror reports.
It is unlikely that Brendan Rodgers would want to offload Agger, especially with Martin Skrtel's future at Anfield still undecided.
Liverpool paid £6m for Agger back in 2006.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Manchester CityMan City | 4 | 4 | 0 | 0 | 11 | 3 | 8 | 12 |
| 2 | Arsenal | 4 | 3 | 1 | 0 | 6 | 1 | 5 | 10 |
| 3 | Newcastle UnitedNewcastle | 4 | 3 | 1 | 0 | 6 | 3 | 3 | 10 |
| 4 | Liverpool | 4 | 3 | 0 | 1 | 7 | 1 | 6 | 9 |
| 5 | Aston Villa | 4 | 3 | 0 | 1 | 7 | 6 | 1 | 9 |
| 6 | Brighton & Hove AlbionBrighton | 4 | 2 | 2 | 0 | 6 | 2 | 4 | 8 |
| 7 | Nottingham ForestNott'm Forest | 4 | 2 | 2 | 0 | 4 | 2 | 2 | 8 |
| 8 | Chelsea | 4 | 2 | 1 | 1 | 8 | 5 | 3 | 7 |
| 9 | Brentford | 4 | 2 | 0 | 2 | 6 | 6 | 0 | 6 |
| 10 | Manchester UnitedMan Utd | 4 | 2 | 0 | 2 | 5 | 5 | 0 | 6 |
| 11 | Bournemouth | 4 | 1 | 2 | 1 | 5 | 5 | 0 | 5 |
| 12 | Fulham | 4 | 1 | 2 | 1 | 4 | 4 | 0 | 5 |
| 13 | Tottenham HotspurSpurs | 4 | 1 | 1 | 2 | 6 | 4 | 2 | 4 |
| 14 | West Ham UnitedWest Ham | 4 | 1 | 1 | 2 | 5 | 6 | -1 | 4 |
| 15 | Leicester CityLeicester | 4 | 0 | 2 | 2 | 5 | 7 | -2 | 2 |
| 16 | Crystal Palace | 4 | 0 | 2 | 2 | 4 | 7 | -3 | 2 |
| 17 | Ipswich TownIpswich | 4 | 0 | 2 | 2 | 2 | 7 | -5 | 2 |
| 18 | Wolverhampton WanderersWolves | 4 | 0 | 1 | 3 | 4 | 11 | -7 | 1 |
| 19 | Southampton | 4 | 0 | 0 | 4 | 1 | 8 | -7 | 0 |
| 20 | Everton | 4 | 0 | 0 | 4 | 4 | 13 | -9 | 0 |
| > Premier League Full Table | |||||||||
