According to the report, Argentina star Messi and Uruguay striker Suarez want a complementing player who can deliver the ball quickly into the centre of the pitch from the wing so they can do their thing.
The Chelsea man has been linked with a move away from Stamford Bridge in recent weeks, with Manchester United and Barcelona mooted as destinations.
Brazil's exit from the tournament after a 2-1 defeat to Belgium in the quarter-finals means Willian can now turn his attentions to his club future.
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The Brazilian refused to add to further speculations.
"I've not received any information about whether [Barca's interest] is true".
United manager Jose Mourinho has made Willian his primary transfer target this summer and is locked in battle with Barcelona to secure his signature.
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If they signed Arthur and Willian, that would leave Barca needing to shift two of Coutinho, Paulinho and Mina.
"He is one of the best players in the world, but now I am on a different side and I want to do everything to win".
It is unlikely there will be any movement on Willian's future until Sarri has been appointed and the player is no longer involved in the World Cup.
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