The newspaper claims the 22-year-old is valued at £20 million by Hull, who are adamant they will not sell him in January.
It adds, however, that the 13th-place Tigers are resigned to losing Bowen if they fail to gain promotion this season.
Barnes lifeline for Baggies?
Leicester are understood to have recalled Harvey Barnes - who plays in a similar role to Bowen - from West Bromwich Albion on Friday, which could give the Foxes some breathing space if they do wish to pursue a deal for Bowen.
Alternatively, any January deal for the former Hereford player would offer hope to West Brom that Barnes could return before the close of the transfer window.