The Toffees, according to talkSPORT, are lining up a bid for Dynamo Kiev’s Aleksandar Dragovic if the Blues are successful in their attempts to lure Stones to Stamford Bridge.
Roberto Martinez, therefore, may be expecting to start next season without the centre-back.
Previous reports had claimed that Stones had informed manager Martinez at the end of last season that he was ready for a move to a big club, and he looks to be on the verge of having his wishes met this summer.
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Chelsea are preparing a £26m bid, but Everton are said to want a minimum of £34m for his signature.
With John Terry set to turn 35 at the end of the year, Jose Mourinho looks to be planning for life without the Stamford Bridge legend – and Stones looks to have all the credentials to be his successor.