The Ligue 1 side's sporting director has revealed that the big-spending French club are considering a move for the LA Galaxy star.
"The door is open," Leonardo told the BBC. "He is more than a soccer player - he's a brand, a pop star. I would always consider him."
Leonardo worked together with the midfielder during his spell in charge of AC Milan, and the Brazilian is impressed with Beckham's attitude on the pitch.
"I have an English player who I really like and I worked with him. It's someone who I really appreciate and admire so much - his values and everything he has done in soccer. It's David Beckham - a big brand of English football," Leonardo said.
"I coached him at Milan and we created a good relationship. He is more than a football player, but when you see him every day he trains and plays like a kid. He respects the rules, listens to you and wants the best for the team. That's why for me he is a big example. I would always consider him."
Beckham's contract with the LA Galaxy expires at the end of the MLS season in November, and the former England international has recently been linked with clubs such as Tottenham Hotspur and QPR.