They report that the Ligue 1 side - who were previously unwilling to consider a sale - are now coming around to the idea of letting the Brazil star go.
"I've waited four years for this chance, it's close and I hope to get there in great shape."Neymar played for Brazil at the 2014 World Cup but missed the catastrophic 7-1 semi-final defeat by Germany through injury".
Silva also revealed he he plans to leave PSG soon, adding: "I have to keep working to help my teammates".
Neymar believes the likes of Philippe Coutinho, Mohamed Salah and Eden Hazard are ready to illuminate the 2018 World Cup.
"I had an examination last week, it is all flawless, evolving well, so I hope that continues so I can get back as soon as possible".
Who are you excited to watch at the World Cup?
Brazil, with Neymar back to full fitness following a broken metatarsal, are among the favourites, while Lionel Messi and Cristiano Ronaldo will be shouldering the weight of expectation with Argentina and Portugal. "I have two years left on my contract and after that, I will hand over to somebody else".
Neymar, who joined PSG for a fee of 222m euros (£200m), said he was apprehensive about kicking a ball again after nearly three months out. "But that's normal for a guy who has had the first surgery of his career".
"I respect all opinions, but when you are attacked personally, it starts to get hard". Then I'll see, it depends on how things develop, it depends on my next exams.
There will not be much domestic football to come at that point, but there will still be time in which to prepare himself for a World Cup quest.