Paul Bodin’s Under 19s play their football in the South West Conference and have enjoyed an impressive campaign after winning their league last season.
The Robins beat Newport County 2-0 in the first round and followed that with an impressive 3-1 victory over AFC Bournemouth at the Seward Stadium next time out.
The third round saw Swindon land a home tie against Birmingham City - and a 3-2 victory. The visitors led after 23 minutes through Eddy Gnahore but Miles Storey equalised 10 minutes later.
Birmingham grabbed another goal before the break but a second from Storey after half time, and a winner from Harry Grant, earned the Wiltshire club a fourth-round tie against City.
Despite their impressive run, it’s 48 years since the Robins reached the final
Swindon were FA Youth Cup finalists back in 1964, beaten over two legs by a Manchester United side that included George Best.
In 2004 they reached the quarter-final, where they were defeated 3-0 by Chesterfield. Current manager Bodin led the side to the last eight again in 2007, where Newcastle triumphed.
City, the winners in 1986 and 2008, are keen to make progress after being knocked out in the fourth round last January, suffering a 2-1 defeat at the hands of Nottingham Forest.
The tie, on Tuesday 17 January, will be played at the County Ground and will kick off at 7pm. Tickets are only available on the door on the evening. Prices are £5 adults, £3 concessions.