The Tigers have been tracking the former bricklayer for a while, with talks between the two clubs believed to be under way.
But, the newly promoted side’s failure to reach a full agreement has left the door ajar for Stoke, who are hopeful of wrapping up a £5million deal.
Hughes is a big fan of Austin, and sees him as the ideal man to help impose a new, more attractive style of play at the Britannia Stadium.
Swindon snapped up the 23-year-old from non-league side Poole Town in 2009, and since then he has gone on to notch 82 goals in 155 appearances.
This sort of goal-getting ability is particularly attractive to ‘Sparky’, whose newly inherited squad were the second lowest scorers in the Premier League last season with a meagre tally of 34.
Austin is also wanted by Sunderland, with Paolo Di Canio having coached the striker during his time at Swindon.
Meanwhile Stoke are thought to be in the market for both Erik Pieters of PSV Eindhoven and former Tottenham winger David Bentley, who was released by the Londoners earlier this summer.
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