The 32-year-old entered the operating theatre on Tuesday morning for the procedure which is expected to last eight hours.
The Catalan club are expected to issue an update on his condition once the transplant has been completed.
Abidal was diagnosed with liver cancer in March 2011.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Barcelona | 18 | 12 | 2 | 4 | 50 | 20 | 30 | 38 |
| 2 | Atletico MadridAtletico | 17 | 11 | 5 | 1 | 31 | 11 | 20 | 38 |
| 3 | Real Madrid | 17 | 11 | 4 | 2 | 37 | 16 | 21 | 37 |
| 4 | Athletic Bilbao | 18 | 9 | 6 | 3 | 27 | 16 | 11 | 33 |
| 5 | Villarreal | 17 | 7 | 6 | 4 | 29 | 28 | 1 | 27 |
| 6 | Mallorca | 18 | 8 | 3 | 7 | 18 | 21 | -3 | 27 |
| 7 | Real Sociedad | 17 | 7 | 4 | 6 | 16 | 11 | 5 | 25 |
| 8 | Osasuna | 17 | 6 | 7 | 4 | 22 | 25 | -3 | 25 |
| 9 | Real BetisBetis | 17 | 6 | 6 | 5 | 20 | 21 | -1 | 24 |
| 10 | GironaGirona | 17 | 6 | 4 | 7 | 23 | 25 | -2 | 22 |
| 11 | Sevilla | 17 | 6 | 4 | 7 | 18 | 23 | -5 | 22 |
| 12 | Rayo Vallecano | 17 | 5 | 6 | 6 | 19 | 20 | -1 | 21 |
| 13 | Celta Vigo | 17 | 6 | 3 | 8 | 25 | 28 | -3 | 21 |
| 14 | Las PalmasLas Palmas | 17 | 5 | 4 | 8 | 22 | 27 | -5 | 19 |
| 15 | Leganes | 17 | 4 | 6 | 7 | 15 | 23 | -8 | 18 |
| 16 | Getafe | 17 | 3 | 7 | 7 | 11 | 14 | -3 | 16 |
| 17 | AlavesAlaves | 17 | 4 | 4 | 9 | 19 | 28 | -9 | 16 |
| 18 | Espanyol | 17 | 4 | 3 | 10 | 16 | 29 | -13 | 15 |
| 19 | Real ValladolidValladolid | 17 | 3 | 3 | 11 | 12 | 34 | -22 | 12 |
| 20 | Valencia | 16 | 2 | 5 | 9 | 14 | 24 | -10 | 11 |
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