The 24-year-old marksman, who has 32 league goals in 170 appearances for the Hampshire club, is out of contract at the end of the season.
Youth team graduate Hylton featured off the bench in Tuesday's 1-0 win at Barnet, but now faces a short spell on the sidelines as he requires a groin operation.
League One strugglers Portsmouth have a long-standing interest in the striker while Charlton and Peterborough are both keen on strengthening and retaining their Championship status.







