Celtic, Ipswich and Sheffield United are among the clubs keeping an eye on the 33-year-old.
Brown told the Hull Daily Mail: “Any bid for Kevin is news to me.
“Kevin is a great asset to the football club at the moment, he’s a great professional.
“A player of his temperament, his experience, and his versatility to play in a number of positions is going to be invaluable to us between now and the end of the season.”