Abidal underwent the transplant in April with the very real possibility of never being able to play professional football again.
However, Dr Juan Carlos Garcia Valdecasas was keen to insist that Abidal's future quality of life is the priority.
"Abidal has responded positively to the medication and his body has recuperated well," Dr Valdecasas told Sport.
"It is not impossible that he could continue to play professional football, but the most important thing is that Eric enjoys an excellent quality of life."
Abidal joined Barca in 2007, making 188 appearances for the club in that time.