Jones is keen to extend his current contract, which expires next summer.
The arrival of Hughes as manager at Stoke has reinvigorated the 28-year-old striker.
The Telegraph reports that Jones is likely to be offered a three-year extension to his contract.
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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.