Peter Beardsley's under-23 side were drawn against the Ebac Northern League Division Two club last week, and the date and venue have now been confirmed.
Kick-off will be 7.30pm (UK time) at Whitley Park in Benton.
Newcastle enter the competition at this stage while the Braves booked their place in the quarter-finals with a 1-0 win over Ashington last week, courtesy of a second half strike from David Robinson.
Admission details will be announced in due course.