The Shaymen beat Macclesfield Town in West Yorkshire tonight, thanks to a solitary Matthew Kosylo goal.
Saturday's winners will earn £7,000 and a place in the last sixteen. Should the match finish in a draw, there will be a replay at York Road.
Admission on Saturday is: Adults/Concessions £12, U16's £5, U12's £3.
The teams met in the Vanarama National League last Saturday, in a game which finished goalless.
Fourteen years ago United travelled to Halifax in the same competition and ran out shock 2-0 winners.
You can read goalscorer Steve Hale's account of that day by clicking here
Updated 20:01 - 13 Jan 2018 by Steve Jinman