Northwich, of the Evo-Stik First Division North, sprung a surprise on Monday night when they were 2-1 winners at Boreham Wood of the National League in a First Round Replay.
The next stage of the FA Cup takes place over the first weekend of December with Northwich now the lowest-ranked side left in the competition.
The game will take place on Saturday 5th December at 3pm with ticket prices £15 for Adults, £12 for Over-65's and £5 for Under-18's.
FA Cup ticket details
Before then Northampton travel to Notts County and Crawley and host Yeovil in League Two while still awaiting their off-field fate.