According to the Daily Star, the Magpies have had an initial bid of around £11million rejected and are expected to table an improved offer over the next 24 hours.
Marseille are demanding £15m for Thauvin and Newcastle are optimistic about their chances of landing the 22-year-old as they are ready to pay the entire fee immediately.
Thauvin has been tracked by Newcastle for the past 18 months and is believed to be close to agreeing a summer move to St James' Park.
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