The Serb, who will officially take charge on 1 July, has identified the centre of defence and central midfield as two priority areas for improvement.
Phil Jagielka left Bramall Lane earlier this summer and if 24-year-old Bryan was to follow him out the door it would leave the Blades light in a key area, with question marks also remaining on Jack O’Connell’s fitness.
Young Wolves defender Dion Sanderson has been linked with Sheffield United again following a successful loan spell in League One with Sunderland.
Here are the latest transfer deals and rumours from around the Sky Bet Championship.