The 19-year-old England youth international has also attracted loan enquiries from Preston North End, Blackburn Rovers, Bristol City and Sheffield Wednesday, along with interest from clubs overseas, but it is Southampton who are said to be keenest on a permanent switch.
Kamason has plenty of admirers within Old Trafford, too, having stood out during the opening games of Manchester United's pre-season, particularly in the 5-0 win over Rosenborg.
He was the first player to sign scholarship forms at the club after joining via United's Emerging Talent Programme at the age of 10, having previously played for grassroots side Stockport Vikings. No decision has yet been made on his development path, but he is expected to remain around Michael Carrick's squad until at least January.
United's goalkeeping department, meanwhile, has undergone further change, with Radek Vítek completing a permanent move to Middlesbrough in a deal worth up to £14m, a Championship record fee for a goalkeeper.
The 22-year-old impressed on loan at Bristol City last season, keeping 12 clean sheets, and opted for a fresh start at the Riverside having spent the past two and a half years out on loan in search of regular first-team football.
United have retained a 35% sell-on clause as well as matching rights and a buy-back option, giving the club a route back to Vítek should he develop into the goalkeeper many at Old Trafford believe he can become.