Keane has been on loan at Turf Moor since the start of the campaign, making 10 Premier League appearances at the heart of the defence.
A physical defender, the England Under-21 international has not looked out of place in the side who are fighting to avoid relegation, and he appears to be the perfect player for Sean Dyche’s side.
Reserve Player of the Year at Old Trafford in 2012, Keane had failed to kick-on with his career with the Red Devils this season, and, with head coach Louis van Gaal favouring the likes of Tyler Blackett and Paddy McNair over him, a loan move away seemed inevitable.
A modest fee for the highly-rated defender, the report indicates that talks were held on Wednesday, with Keane himself keen on pushing through the move to secure consistent first-team football.
To follow on the rumours, Burnley announced via their official Twitter account that the deal had been agreed with United.
The 17-capped Under-21 international has shown a lot of promise in his limited appearances at Turf Moor, and he will be hoping to further learn from Dyche. Although currently in the relegation places, the Clarets look well set to fight for survival after being written off at the start of the campaign, and Keane will surely continue to be a part of that.
His current loan deal with Burnley is the fourth of his short career, having also played for Leicester, Derby County and Blackburn. He did make one appearance for United this term before leaving Old Trafford - coming on as a 43rd minute substitute for Chris Smalling against Sunderland in August - but he had been overlooked in favour of a number of other youngsters by van Gaal.