I'm pretty sure he won't go to PSG but Bar?a.He is looking for more money, otherwise he would have renewed with Liverpool already. Like what DonAK said, this is probably his last long-term contract so he will try to get the most out of it, nobody can blame him. If we were to trust the reports (that PSG offered him a lot more than we did) then it is very natural that he goes to PSG.
Most of the time, this "free" players have already made their minds. Aguero, Alaba, Thiago Alcantara -not free but you get my drift-, Eric Garcia, soon Depay and Wijnaldum.
I'm as sure as i was about Neymar and Messi staying in their respective clubs.