Neymar has publicly said he wants to play with Lionel Messi next season.
Messi is out of contract with Barcelona next summer and is free to negotiate a contract with another club beginning in January.
"What I want most of all is to play with Messi again, to be able to enjoy him once again on the pitch," Neymar said.
"He can play in my place, I have no problem with that! But I want to play with him next year, for sure. We have to do it next season."
PSG has been monitoring Messi's situation with interest in signing him. Manchester City was believed to be Messi's preferred club.