Talk that 36-year-old Beckham, who is currently playing in the US for the Major League Soccer club Los Angeles Galaxy, has been gaining momentum in recent months, although nothing has been confirmed.
Radio station RTL reported on Tuesday that PSG, the current Ligue 1 champions, have ordered 20,000 shirts with Beckham's name on the back as part of its marketing efforts for the player's arrival.
The station reported that PSG owners Qatar Sport Investment placed an emergency order with the team's apparel supplier and sponsor Nike. The shirts are due to arrive in November.
Former French midfield player Michel Platini, who now serves as the president of European football association UEFA, was less than flattering about the prospect of Beckham's arrival in the capital in an interview with the station on Tuesday.
"Beckham in Paris, that's of no concern to me," he said. "It will be good for the shopping."
"At 36…I really like David Beckham and think he has been a really good footballer, but he's not the player he was. If he comes, it will be for other things than football," he added.