The Boro will travel to Sporting Bromsgrove on Tuesday 21st November, with kick off at 19:45.
Nuneaton progressed following an impressive 2-0 victory at the LDJ Solicitors Stadium over Birmingham City.
The FA Senior Cup fixture will be played at the Victoria Ground.
Supporters are advised that the stadiums postcode is B61 0DR.
Ticket details and further information will be available in due course.