The first round draw was televised live on BBC2 this evening.
The U’s, knocked out of the Cup at the first hurdle by visiting Chesterfield 12 months ago, will entertain Oxford of National League South. Oxford are struggling third from bottom in the table.
The Swifts, meanwhile, who booked their place in the first round proper for the fourth time in the club’s history, following a 4-2 win at Bostik North rivals Haringey Borough on Saturday, must make the long journey to the south-west to take on an Exeter side who are flying high in second spot in League Two.
Jody Brown’s men are going great guns this season, having also won five of their first six league games.
Meanwhile, Chelmsford City, who beat Bath City 1-0 in a fourth qualifying round replay tonight, at Melbourne Stadium, will play away at Gateshead.
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