Sheffield Wednesday, Hibs, Nottingham Forest, Barnsley and Belgian club Royale Union Saint-Gilloise have also been credited with an interest.
The 24-year-old defender is in the final year of his contract with the Scottish side.
He was one of the star performers for Callum Davidson's men last season, they won the League Cup and Scottish Cup.
Championship news: Ex-£8m Sunderland midfielder favourite for Birmingham City job despite little experience
Sunderland AFC news: Ex-Black Cats, Middlesbrough, Huddersfield Town and Stoke City man makes Turkey switch
Nine strikers Sunderland could try to sign this summer - including Leeds United, Aston Villa and Tottenham youngsters
Sunderland AFC transfer news: Black Cats have no interest in ex-AC Milan and Chelsea man as 2,300 fans vote on transfer
Former Sunderland and Crystal Palace striker spotted in-action for Championship side Reading
Sunderland completed their first business of the window on Friday night, when Jacob Carney arrived from Manchester United.
The young goalkeeper will initially join up with Lee Burge and Anthony Patterson in the senior group, but is also expected to bolster the U23 side over the course of the campaign.
Sunderland began their pre-season campaign on Monday with a threadbare squad, though Aiden McGeady has since signed a new one-year deal and there is now significant optimism that Luke O'Nien will also agree new terms.