"We are going to talk with him about it. But frankly, we really want to keep him with us next season," al-Khelaifi told French sports daily L'Equipe on Monday.
Beckham, 37, joined the wealthy French side as a free agent in January on a five-month deal and said he was considering a second season at the capital club.
"He's fantastic, on and off the pitch. Signing David has been one of my best decisions," al-Khelaifi said.
"He's outstanding as a person, as a player, as an ambassador. He has really made an impact in this squad. Everybody loves him."
Beckham has started once in five league appearances so far with PSG, who top the Ligue 1 table seven points clear of second-placed Marseille with eight games left.
Al-Khelaifi also insisted that manager Carlo Ancelotti will be staying with the club despite being linked to Real Madrid.
“Ancelotti is staying at PSG,” Al-Khelaifi told L’Equipe. “I don’t understand why Ancelotti’s future has been placed into doubt.
“He has a contract here with us until 2014 and, if the team finish the season in the top three, then his stay here will be certain – 100 per cent.”