The Mirror reports that the Reds will make a mvoe for Williams if Daniel Agger joins Manchester City.
New Liverpool boss Brendan Rodgers have worked with Williams at Swansea for the past two seasons.
Liverpool are reportedly prepared to sell Agger for around £23million.
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Chelsea legend Didier Drogba has revealed his top 11 Chelsea career moments during his recent interview on Chelsea TV.
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.