The Blades' trip to Turf Moor, which could have a major bearing on where both sides finish in the race for a top-six finish, will be played on Monday, April 20 (7.45pm kick-off).
Kevin Blackwell's side are currently one place above Burnley in the table and are a point better off.
United will also be hoping to avenge December's 3-2 defeat to the Clarets at Bramall Lane.
Source: Team_Talk