The England forward has been keen to be assured of his future as a centre forward for the club before agreeing a new contract.
It is likely that a new deal for the player will be confirmed next week.
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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.