The Clarets have been drawn at home to Enfield Town or Hadley in the third qualifying round of the Emirates FA Cup.
Robbie Simpson’s side progressed in the competition following a 2-1 victory over Little Oakley on Saturday.
Goals from Charlie Sheringham and Dave Winfield on the day were enough to seal progression against the Essex Senior League outfit.
Who City face in the next round will be settled on Tuesday, 21st September in a replay between Enfield and Hadley.
The two clubs played out a 1-1 draw in their initial game on Saturday.
Either side is scheduled to travel to the EMG Inspire Stadium on Saturday, 2nd October with a 3pm kick-off.
Further details on the fixture will be released by the Club in due course.