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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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.