"We have no news. We are waiting for the doctors to give us an update, but operations such as this take a long time," he said at half-time of the club's league match with Getafe.
"We know he's in the best possible hands."
Abidal was still in the operating theatre after the match had finished with a 4-0 win for defending champions Barcelona to move them to within a point of leaders Real Madrid.
"It is a long operation, during which you have to first operate on the person who is donating the organ, then move on to the person who is receiving it," said Barcelona's deputy financial director Javier Faus.
The 32-year-old defender - who received a moving tribute from the fans at the Getafe match in the 22nd minute the same number as his squad shirt - was to receive a liver donated by his cousin Gerard.
Barcelona announced March 15 that he would have a liver transplant "in the coming weeks", nearly a year after the player had a tumor removed from the same organ.
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