The Brazilian international has been a big hit at Stamford Bridge since his arrival in 2012, featuring regularly in the Londoners’ first-team.
Jose Mourinho in particular is known to be a massive fan of the playmaker, with his presence key in the decision to sell Juan Mata to Manchester United, despite the Spanish star having been the club’s player of the year twice in a row.
His excellent form has seen interest in his signature rise, with PSG and Juve thought to be paying particularly close attention to his situation.
It is understood that the Ligue 1 side are willing to bid in excess of £40m this summer to lure the silky passer to Paris, while the Old Lady are just as keen to strike a deal.
The 22-year-old cost Chelsea £25m from Internacional almost two years ago, meaning that the Blues could make a hefty profit on their investment.
However Mourinho is likely to resist, with Oscar a key member of ‘The Special One’s’ attacking midfield set-up with Willian and Eden Hazard.