Shepshed will carry out the 350 mile round trip to Hebburn Town, who are currently 5th in The Northern League.
Hebburn Town won away at Stockton Town 5-3 on Saturday to secure their place in the 4th Round.
FULL DRAW
1 Godmanchester Rovers v Sporting Khalsa
2 Irlam or Winterton Rangers v Cadbury Athletic
3 Hebburn Town v Shepshed Dynamo
4 Newcastle Benfield v Northwich Victoria
5 Sunderland RCA v West Auckland Town
6 Coventry United v Leicester Nirvana
7 Deeping Rangers v Eastwood Community
8 Histon v Lye Town
9 Willand Rovers v Hamble Club or Hamworthy United
10 Canterbury City v Hullbridge Sports or Newport Pagnell Town
11 AFC Uckfield Town v Windsor
or Sutton Common Rovers
12 Saltash United or Cribbs v Sholing
13 Bearsted v Abbey Rangers
14 Redbridge or Chertsey Town v Cadbury Heath or AFC St Austell
15 Tring Athletic or Biggleswade v Swaffham Town or Stowmarket Town
16 Cray Valley (PM) v Baffins Milton Rovers