The Blues have been linked with the 24-year-old ahead for months.
The West London outfit have misplaced 4 out of their final 5 matches and have slipped to eighth within the Premier League.
In keeping with 90min, Chelsea nonetheless occupied with signing Nkunku and the main target is now on determining whether or not the Frenchman will be part of the membership within the New Yr or in the summertime.
Nkunku has a £58m launch clause in his contract, however the Blues have signalled a willingness to pay extra instantly to safe his signature.
Nkunku has scored 17 objectives and registered 4 assists in 23 video games for Leipzig this season.
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