The Clarets will play their FA Youth Cup quarter-final at Manchester City on Wednesday, 4 March (kick-off 7pm).
The sixth-round tie will take place at City’s Academy Stadium on their Etihad Campus.
The winners will play away to Blackburn Rovers or Arsenal in the semi-finals, which are now decided over one leg.
Should Burnley and Blackburn both get through, their last-four meeting would be a repeat of the 2012 semi-final, which Rovers won 3-1 on aggregate.
The Clarets have beaten Curzon Ashton, Mansfield Town and West Bromwich Albion to reach the last eight for the first time since their epic run eight years ago.