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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The start of the 2017-18 Premier League season is just around the corner and is shaping up to be one of the most competitive yet.
As always it is the so called “big clubs” that have splashed the most cash in the transfer window so far this summer. Manchester United or City? Arsenal or Tottenham? Who are the winners and losers of the transfer window so far?