That's according to French newspaper Le 10 Sport, who claim that Marseille are willing to sell the talented French youngster having become frustrated with his inconsistent performances.
Thauvin was a target for United, Chelsea and Arsenal before he joined Marseille in the summer of 2013, and he was linked with the three Premier League giants again this summer.
Serie A champions Juventus have also been watching the French under-21 international, who has been compared to former-Marseille star Franck Ribery.
Marseille were desperate to keep hold of the 21-year-old over the summer, when Thauvin was regarded as one of the club's most promising talents.
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He's made 25 appearances in the league since he joined, scoring nine goals but Marseille management want to cash in as they believe he has failed to rediscover his best form this season.
They will accept between €15m and €20m for Thauvin, having turned down a €25m offer from Inter Milan over the summer. But it's another Italian side that currently lead the race.
Juventus have been tracking him for several months, and value his technical ability and versatility to play across the attacking positions.
United, Chelsea and Arsenal in particular would also likely test the water with a bid should it emerge that Thauvin actually is available at a knockdown rate.
All three are well stocked in Thauvin's favoured attacking midfield position, but clubs like United, Chelsea and Arsenal don't often pass up the opportunity to sign a player of Thauvin's class when he's available at a discount.
He signed a five-year contract with his Ligue 1 employers, but the Premier League giants have deep pockets and could offer him improved terms in a more prestigious league.