The 25-year-old Denmark international has previously played for Palermo and Roma, and joined Lille in 2013.
Juventus manager Massimiliano Allegri is thought to be on the lookout for defensive reinforcements, and Kjaer could be available for around €10m (£7.4m), reports Tuttosport.
Kjaer, who has 46 caps for Denmark, has made 38 appearances for the French side, scoring one goal.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Napoli | 13 | 9 | 2 | 2 | 20 | 9 | 11 | 29 |
| 2 | Atalanta BCAtalanta | 13 | 9 | 1 | 3 | 34 | 16 | 18 | 28 |
| 3 | Inter Milan | 13 | 8 | 4 | 1 | 31 | 14 | 17 | 28 |
| 4 | Fiorentina | 13 | 8 | 4 | 1 | 27 | 10 | 17 | 28 |
| 5 | Lazio | 13 | 9 | 1 | 3 | 28 | 14 | 14 | 28 |
| 6 | Juventus | 13 | 6 | 7 | 0 | 21 | 7 | 14 | 25 |
| 7 | AC Milan | 12 | 5 | 4 | 3 | 20 | 14 | 6 | 19 |
| 8 | Bologna | 12 | 4 | 6 | 2 | 15 | 16 | -1 | 18 |
| 9 | Udinese | 12 | 5 | 1 | 6 | 15 | 18 | -3 | 16 |
| 10 | Empoli | 12 | 3 | 6 | 3 | 9 | 10 | -1 | 15 |
| 11 | Torino | 13 | 4 | 3 | 6 | 16 | 19 | -3 | 15 |
| 12 | Roma | 13 | 3 | 4 | 6 | 14 | 18 | -4 | 13 |
| 13 | Parma | 13 | 2 | 6 | 5 | 17 | 21 | -4 | 12 |
| 14 | Hellas VeronaHellas Verona | 13 | 4 | 0 | 9 | 17 | 32 | -15 | 12 |
| 15 | CagliariCagliari | 13 | 2 | 5 | 6 | 14 | 24 | -10 | 11 |
| 16 | Genoa | 13 | 2 | 5 | 6 | 11 | 24 | -13 | 11 |
| 17 | Como | 13 | 2 | 4 | 7 | 13 | 25 | -12 | 10 |
| 18 | Monza | 13 | 1 | 6 | 6 | 11 | 16 | -5 | 9 |
| 19 | Lecce | 12 | 2 | 3 | 7 | 5 | 21 | -16 | 9 |
| 20 | VeneziaVenezia | 12 | 2 | 2 | 8 | 11 | 21 | -10 | 8 |
| > Serie A Full Table | |||||||||
