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Tonight's tie (19:00 kick-off) is a third-round one following Swindon victories against Salisbury (3-2) and AFC Sudbury (3-2 AET) in rounds one and two respectively.
QPR have not yet played in this year's competition as Championship teams do not enter until this stage.
A win for Town would see them reach round four for the first time in five years - with a very succesful campaign coming in the 2011-12 season.
The side, that included the likes of Miles Storey and Louis Thompson, who became senior pros with the latter now playing in the Championship with Norwich, swiftly dealt with Newport in round one (2-0), then Bournemouth (3-1) and Birmingham (3-2) in later games.
Manchester City, who then had ex-Town winger Alex Henshall, knocked Swindon out of the cup in round four, scoring four past the young Reds who could only manage one - albeit a speculator single goal, by Luke Murden.
The following year Swindon made it as far as round three but a Jordan Ibe-inspired Liverpool secured a 5-0 rout at the County Ground.
Last season the Robins could not get past round one though, as they were heavily beaten by Cheltenham, 5-1, and their run ended before it had begun.
Whoever wins out of Swindon and QPR will be rewarded with a home tie against Premier League outfit Tottenham, who beat Stevenage 10-1 in the third round.
Tickets are priced at £3 for Adults and £1 for Concessions.
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