United's second-string were due to face their Clarets counterparts at the Lancashire FA Training Ground on Monday, 7th February but the Division Two game was postponed due to a waterlogged pitch.
The league encounter will now take place on Friday, 11th March at The Barnfield Training Centre, with kick-off set at 1pm (GMT).
Elliott Dickman's side currently sit in sixth place of Premier League 2 Division Two on 26 points, six adrift of second-placed Norwich City with two games in hand over the young Canaries.