The French champions are reportedly ready to double the £19m that Chelsea paid the Brazilian playmaker two years ago, according to the Mirror.
Stamford Bridge boss Jose Mourinho is likely to have to sell to help raise funds to sign a big-name centre-forward, with Atlético Madrid’s Diego Costa top of the wanted list.
PSG have been relentless in their pursuit of Oscar and are stepping up their pursuit of their long-term target.
The 22-year-old has made 107 appearances for the Blues, scoring a total of 23 goals.
