Georginio Wijnaldum is open to a Premier League return on loan in January.
However, Sky Sports reports that PSG are not keen on the move.
The Dutchman has failed to establish himself in Mauricio Pochettino's starting line-up since joining on a free transfer from Liverpool last summer.
Arsenal are understood to be a potential destination for the Netherlands international if PSG change their mind.
Wijnaldum joined Liverpool from Newcastle in 2016, and won the Premier League and Champions League during his 237 appearances for the club.