After beating Maidstone United 1-0 at the Gallagher Stadium in the first round proper back in December, the giant-killers were handed another potential away day and giant-killing chance in Monday lunchtime's draw for the third round proper at Wembley.
Ryman Premier rivals Dulwich Hamlet missed out on a trip to Dover Athletic in the draw after they lost 2-1 at home to Guiseley in the second round proper of the competition on Saturday.
Eight ties were pulled out of the hat at the national stadium with the winners set to collect £7,000 in prize money when they are played over the weekend of Saturday 6 February.
Weather-permitting, the Rocks will kick off against National League Altrincham at 7.45pm at Nyewood Lane.
FA Trophy Third Round Proper draw
Torquay United v Truro City or Macclesfield Town
Grimsby Town v Havant & Waterlooville
Gateshead v AFC Fylde
FC Halifax Town or Barrow v Chester
Woking v Oxford City or Cheltenham Town
Dover Athletic v Guiseley
Sutton United v Bognor Regis Town or Altrincham
Bradford Park Avenue or Nantwich Town v Stourbridge
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