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 | 13 | 11 | 0 | 2 | 40 | 12 | 28 | 33 |
| 2 | Real Madrid | 12 | 8 | 3 | 1 | 25 | 11 | 14 | 27 |
| 3 | Atletico MadridAtletico | 13 | 7 | 5 | 1 | 19 | 7 | 12 | 26 |
| 4 | Villarreal | 12 | 7 | 3 | 2 | 23 | 19 | 4 | 24 |
| 5 | Osasuna | 13 | 6 | 3 | 4 | 17 | 20 | -3 | 21 |
| 6 | Athletic Bilbao | 13 | 5 | 5 | 3 | 19 | 13 | 6 | 20 |
| 7 | Real BetisBetis | 13 | 5 | 5 | 3 | 14 | 12 | 2 | 20 |
| 8 | Real Sociedad | 13 | 5 | 3 | 5 | 11 | 10 | 1 | 18 |
| 9 | Mallorca | 13 | 5 | 3 | 5 | 10 | 10 | 0 | 18 |
| 10 | GironaGirona | 13 | 5 | 3 | 5 | 16 | 17 | -1 | 18 |
| 11 | Celta Vigo | 13 | 5 | 2 | 6 | 20 | 22 | -2 | 17 |
| 12 | Rayo Vallecano | 12 | 4 | 4 | 4 | 13 | 13 | 0 | 16 |
| 13 | Sevilla | 13 | 4 | 3 | 6 | 12 | 18 | -6 | 15 |
| 14 | Leganes | 13 | 3 | 5 | 5 | 13 | 16 | -3 | 14 |
| 15 | AlavesAlaves | 13 | 4 | 1 | 8 | 14 | 22 | -8 | 13 |
| 16 | Las PalmasLas Palmas | 13 | 3 | 3 | 7 | 16 | 22 | -6 | 12 |
| 17 | Getafe | 13 | 1 | 7 | 5 | 8 | 11 | -3 | 10 |
| 18 | Espanyol | 12 | 3 | 1 | 8 | 11 | 22 | -11 | 10 |
| 19 | Real ValladolidValladolid | 13 | 2 | 3 | 8 | 10 | 25 | -15 | 9 |
| 20 | Valencia | 11 | 1 | 4 | 6 | 8 | 17 | -9 | 7 |
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