The 57-year-old previously enjoyed stints as a director at Monaco and Lille, spending three years with Les Dogues before departing in December 2020.
Campos also worked as a Real Madrid scout under Jose Mourinho for the 2012-13 season, and the former Gil Vicente manager is seemingly set to take the place of Leonardo in Paris.
"I am delighted to be joining Paris Saint-Germain, which I consider is the most ambitious and exciting club in world football," Campos told the official PSG website.
"I believe strongly in and share the vision of the Club and I cannot wait to get started to further unleash the great potential of this exceptional Club."
Leonardo's departure from PSG is yet to be made official, though, and the club are also expected to confirm the sacking of manager Mauricio Pochettino in the coming days.