The Daily Mail reports that Fenerbahce are ready to make a move for Essien, should they beat Spartak Moscow to qualify for the Champions League on Wednesday.
The Turkish side have also reportedly enquired about Chelsea star Raul Meireles.
Chelsea are reportedly prepared to sell in order to help balance the books.
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Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.
Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.