The Brazil international only joined Anzhi Makhachkala in a £32million deal from Ukrainian side Shakhtar Donetsk in January.
Anzhi Makhachkala are looking to cut costs and are ready to sell the winger before the transfer window closes.
Tottenham have long been linked with a move for Willian, but they now face competition from Liverpool.
Liverpool boss Brendan Rodgers is keen to make a marquee signing this summer and the 25-year-old former Corinthians star would fit the bill.
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The start of the 2017-18 Premier League season is just around the corner and is shaping up to be one of the most competitive yet.
As always it is the so called “big clubs” that have splashed the most cash in the transfer window so far this summer. Manchester United or City? Arsenal or Tottenham? Who are the winners and losers of the transfer window so far?