Willian has indicated he is keen to remain at Chelsea despite transfer interest from Barcelona and Manchester United.
Barcelona submitted an improved offer of £64.2m for the Brazil international after Chelsea turned down an opening bid of £53m.
The La Liga champions have since completed the signing of another Brazilian attacker in Malcom, however, who joined the club for a £37.3m fee from Bordeaux last week.
Willian, who has two years left on his contract at Stamford Bridge, is still on his post-World Cup break and will miss Sunday’s curtain-raising Community Shield clash with Manchester City.
Discussing his future with Brazilian television programme Esporte Espetacular, Willian said: “I am very happy at Chelsea and I am very happy living in London.”
Chelsea are insistent Eden Hazard will not be sold this summer but are prepared to allow Willian, 29, to leave if their valuation is met, with the club holding out for £70m.
Such a move could trigger a move for Borussia Dortmund star Christian Pulisic. Standard Sport has learned the Bundesliga side could be tempted to cash in on their prized asset this summer if a “crazy offer” in excess of £62m arrives.
Chelsea are not expected to pay that sum unless they can fetch a similar amount through the sale of Willian.
United are also keen on the former Shakhtar Donetsk star, with Jose Mourinho eager for a reunion with his former player at Old Trafford.
Elsewhere, the Blues are running out of time to sign Juventus striker Gonzalo Higuain. Maurizio Sarri has pushed for the club to bring in the Argentina international, who Juve are looking to move on following the £99m arrival of Cristiano Ronaldo from Real Madrid.
The Chelsea board are still to make a serious offer for the striker however with AC Milan officials meeting with Higuain’s brother and agent Nicolas for fresh talks on Monday night.
It is believed Milan have proposed paying a loan fee worth £16m to Juventus with the proviso of spending another £32.1m to sign him for good next summer.