The game will take place on Saturday, February 12, with the winner receiving £6,000 and a place in the quarter-finals.
The fifth round opponents Notts County beat Eastleigh 2-1 at home in the fourth round on Saturday, and have already lost 3-2 at The Shay this season. Town were 2-0 down in that game, and down to 10 men, but came back to win thanks to Matty Warburton's winner in the tenth minute of added time.
County are fourth in the National League.