The 28-year-old has hugely benefitted from the appointment of Thomas Tuchel as manager and has played every minute of Chelsea's strong start to the 2021-22 season.
Rudiger has previously talked up his chances of signing a new contract at Chelsea, but his current deal is due to expire in under 12 months' time, and he is reportedly yet to agree terms over extending his stay.
As a result, Le 10 Sport claims that PSG are keeping a close eye on the situation with a view to signing the Germany international as a free agent in the summer of 2022.
Mauricio Pochettino's side made a number of high-profile free acquisitions in the most recent window, signing Lionel Messi, Sergio Ramos, Gianluigi Donnarumma and Georginio Wijnaldum for a grand total of £0m.
Rudiger has totalled 153 appearances for Chelsea since arriving in the summer of 2017, winning the Champions League, Europa League and FA Cup during his time at Stamford Bridge.
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