The match will take place at the Sussex Transport Community Stadium, with kick-off at 19:45 on Tuesday, 28th November.
As defending champions in the competition, the Reds overcame League Two side Crawley Town in the previous round.
Goals from Jesse Starkey, Jake Robinson (x2), Joan Luque, Ollie Pearce and Bailey Smith helped Worthing to an emphatic 6-2 win against the Red Devils.
Littlehampton Town of the Isthmian League South East Division overcame Seaford Town in the previous round with Dion Jarvis’ strike securing a 1-0 away win.
The Marigolds are 15th in their league table, having won two, drawn two and lost three of their seven games.
Ticket information will be announced in due course.