The Premier League side are desperately short of options going at centre forward.
According to Cadena COPE, the 27 year old could be set to leave Sevilla to join Chelsea if they stump up €18 million.
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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.