The fifth round is due to take place on Saturday February 6, with winning clubs set to earn £6,000 from the prize pot. Sides exiting the competition will receive £1,750.
The tie of the round sees Havant & Waterlooville taking on Notts County in one of three confirmed fixtures.
Elsewhere, Maidstone United visit Step Three Hornchurch, with Oxford City hosting Peterborough Sports.
FA Trophy Fifth Round draw:
Sutton United v Bromley or Woking
Aldershot Town or Solihull Moors v Boston United or Chesterfield
Darlington v Wealdstone
Stamford or Hereford v Kettering Town or Leamington
Havant & Waterlooville v Notts County
FC Halifax Town or Southport v Boreham Wood or Torquay United
Oxford City v Peterborough Sports
Hornchurch v Maidstone United