The fourth round is due to take place on Saturday January 16, with winning clubs set to earn £5,250 from the prize pot. Sides exiting the competition will receive £1,500.
The tie of the round sees Vanarama National League giants Stockport County and Notts County face at Edgeley Park.
League leaders Torquay United travel to Boreham Wood or Yeovil Town- facing each other tomorrow night in a postponed clash- while Sutton United host Dagenham & Redbridge.
Solihull Moors are away to Aldershot Town, plus James Rowe's Chesterfield face a trip to Lincolnshire to visit Boston United's new home.
FA Trophy Fourth Round draw:
Kettering Town vs Leamington
FC Halifax Town vs Southport
Aldershot Town vs Solihull Moors
Weymouth vs Darlington
Sutton United vs Dagenham & Redbridge
Stockport County vs Notts County
Maidstone United or Frome Town vs Dorking Wanderers
Wealdstone vs Maldon & Tiptree Gloucester City
Boreham Wood or Yeovil Town vs Torquay United
Havant & Waterlooville vs Altrincham
Boston United vs Chesterfield
Stamford vs Hereford
Bath City vs Peterborough Sports
Hornchurch vs Alfreton Town or King's Lynn Town
Bromley or Hemel Hempstead Town vs Woking
Oxford City or Truro City vs Haringey Borough