The 31-year-old Spanish midfielder's current deal at the Santiago Bernabeu is due to expire next year.
His refusal to commit himself could mean that he is coming to the end of his spell with the La Liga champions, according to talkSPORT.
Alonso joined Madrid from Liverpool in 2009 for £30m.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Real Madrid | 31 | 24 | 6 | 1 | 67 | 20 | 47 | 78 |
| 2 | Barcelona | 31 | 21 | 7 | 3 | 62 | 34 | 28 | 70 |
| 3 | GironaGirona | 31 | 20 | 5 | 6 | 63 | 39 | 24 | 65 |
| 4 | Atletico MadridAtletico | 31 | 19 | 4 | 8 | 59 | 36 | 23 | 61 |
| 5 | Athletic Bilbao | 32 | 16 | 10 | 6 | 52 | 30 | 22 | 58 |
| 6 | Real Sociedad | 31 | 13 | 11 | 7 | 45 | 33 | 12 | 50 |
| 7 | Valencia | 31 | 13 | 8 | 10 | 34 | 32 | 2 | 47 |
| 8 | Real BetisBetis | 31 | 11 | 12 | 8 | 38 | 37 | 1 | 45 |
| 9 | Villarreal | 31 | 10 | 9 | 12 | 49 | 54 | -5 | 39 |
| 10 | Getafe | 31 | 9 | 12 | 10 | 37 | 43 | -6 | 39 |
| 11 | Osasuna | 31 | 11 | 6 | 14 | 36 | 44 | -8 | 39 |
| 12 | Las PalmasLas Palmas | 31 | 10 | 7 | 14 | 29 | 35 | -6 | 37 |
| 13 | Sevilla | 31 | 8 | 10 | 13 | 39 | 44 | -5 | 34 |
| 14 | AlavesAlaves | 31 | 8 | 8 | 15 | 26 | 38 | -12 | 32 |
| 15 | Mallorca | 31 | 6 | 13 | 12 | 25 | 36 | -11 | 31 |
| 16 | Rayo Vallecano | 31 | 6 | 13 | 12 | 25 | 38 | -13 | 31 |
| 17 | Celta Vigo | 31 | 6 | 10 | 15 | 33 | 46 | -13 | 28 |
| 18 | CadizCadiz | 31 | 4 | 13 | 14 | 21 | 41 | -20 | 25 |
| 19 | Granada | 32 | 3 | 9 | 20 | 33 | 61 | -28 | 18 |
| 20 | Almeria | 31 | 1 | 11 | 19 | 30 | 62 | -32 | 14 |
| > La Liga Full Table | |||||||||
