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Published 14:30 3 Oct 2022 BST
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The 24-year-old moved to Leipzig in 2019 having come through the youth ranks with Paris Saint-Germain.
His form in Germany has alerted a host of the continent's top clubs, with Manchester United linked with him earlier in the year following comments made by then-interim manager, Ralf Rangnick.
Chelsea have been heavily active in the transfer market since being taken over by a Todd Boehly-led consortium earlier in the year.
A host of high-profile arrivals - including Wesley Fofana, Pierre-Emerick Aubameyang, Raheem Sterling, Kalidou Koulibaly and Marc Cucurella - joined the club over the summer, when Thomas Tuchel was still manager.
The German was dismissed just days after the close of the window, with Graham Potter appointed as his replacement.
Should Nkunku arrive, he would become potentially be the first arrival of Potter's time as manager - assuming Boehly hasn't become impatient and fired him from now until then.
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