Walesonline.co.uk report that Owls boss Darren Moore has identified the 20-year-old as a target as he looks to continue his summer rebuild at Hillsborough.
Wednesday, who host the Blues on the opening day of the season, have already made five signings this summer.
An attempt to make that six new arrivals has been rebuffed, with Hull playing hardball over striker Mallik Wilks.
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However, it’s believed their interest in Joseph is not a consequence of frustrations in failing to strike a deal with the Tigers.
Joseph’s ability to also play as a wing-back appeals to Moore – a versatility that no doubt makes him an attractive proposition for Danny Cowley as well.
He would love to land the ex-Chelteham loanee on a permanent basis, with Swans boss Russell Martin open to offers,
Swansea forward Kyle Joseph is wanted by both Pompey and Sheffield Wednesday Picture: Alex Davidson/Getty Images
That, too, could prove problematic, though, if Wednesday are willing to fork out a fee for the 20-year-old.
As well as Joseph, the Blues hold an interest in his Swans team-mates Liam Cullen and Morgan Whittaker.
Meanwhile, Swansea remain keen on Marcus Harness.#
The prospect of a player swap deal with the winger has been mooted.
But Pompey want to recoup the £750,000 they paid Burton Albion for the winger in 2019,
