The Brazilian winger has struggled to maintain a regular starting spot under Antonio Conte this season with team-mate Pedro in fine form.
And The Telegraph claim Conte could decide to consider offers for him when the transfer window opens.
Willian is attracting interest from Manchester United
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Ross Barkley is thought to be on Antonio Conte's radar
The Italian boss is well aware he’ll need to raise funds by selling some players if he wants to land his top targets.
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The report suggests Conte has draw up a shortlist of five strs he wants to bring to west London.
Real Madrid’s Alvaro Morata and Everton striker Romelu Lukaku are the men Conte believes can add firepower to his attack.
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1. Jesus Navas (Manchester City) – £12.75m
Antonio Conte is a big fan of Real Madrid star Alvaro Morata
Conte is also eager to bolster his midfield with Champions League football set to return to Stamford Bridge next season and Everton’s Ross Barkley and Monaco’s Tiemoue Bakayoko are said to be on his radar.
And with John Terry set to leave at the end of the season, Conte will turn his attention to Southampton star Virgil van Dijk.