The Premier Division clubs both went into the hat for the lunchtime fourth round draw at Wembley after their third round clash at the Weaver Stadium was postponed on Saturday.
After going again on Tuesday night, the winners will host one of the National League sides on Saturday 27 February with £8,000 in prize money and a place in the two legged semi-finals of Non-League's showpiece competition up for grabs.
FA Trophy Fourth Round Draw
Nantwich Town or Stourbridge v Dover Athletic or Guiseley
FC Halifax or Chester v Gateshead
Grimsby Town v Woking
Sutton United or Bognor Regis Town v Torquay United or Macclesfield Town
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