The 26-year-old is understood to have had talks with Gunn but is yet to sign a deal with the player's agent Tom Callaghan confirming he "wants a little more time to think it over".
Hearts have been linked with Hughes while former Motherwell boss Mark McGhee is keen to take him to Aberdeen.
Gunn told the Evening News: "Stephen's a player we have enquired about. He's out of contract, he's a quality player.
"But I'm not surprised he's got a number of clubs after his signature."