Doctors said his recovery was "proceeding regularly, without complications, and therefore foresee a discharge in the next few days," Vatican spokesman Matteo Bruni said.
Francis, 86, underwent a three-hour operation at the Gemelli hospital in Rome on June 7, the latest health procedure for the leader of the Catholic Church.
Francis was suffering from a hernia on the site of a scar from a previous surgery. Wednesday's operation saw him placed under general anesthesia as the abdominal wall was repaired with a surgical mesh.
All papal audiences have been cancelled until June 18 to give the pontiff time to recover, but the pope resumed work from his hospital room on Friday.