The Nottingham Forest squad player is no longer needed at the City Ground.
Per the BBC, he is set for a move to the Clarets, who were relegated to the Championship last season.
The 27-year-old played 226 times for Forest, but was on loan at Besiktas for half of last term.
There is a suggestion that he may be a replacement for Burnley defender Dara O'Shea.
The latter is being linked to Premier League sides Wolves and Brentford this summer.