Yeovil scored two late goals to dump Accrington out of the FA Cup and set up a third-round tie with Manchester United.
Simon Gillett and Kieffer Moore netted in the final 10 minutes at Huish Park to earn a 2-0 win and a shot at Louis van Gaal's Premier League stars in January.
Yeovil's first goal arrived on 84 minutes when Gillett drilled into an open net after striker Tom Eaves had challenged goalkeeper Jack Rose in the air.
The mouth-watering clash with the Red Devils was sealed in the 88th minute when substitute Moore rose unchallenged to head in the second.
Yeovil manager Gary Johnson said: "The pressure was on because everyone in Somerset wanted Manchester United to come down to Huish Park. Because of the prize nobody wanted to make a mistake.
"I think all the board of directors were on their knees for 90 minutes, praying that we'd win. They'll be very proud of their football club."
Tranmere will tackle Swansea thanks to a 2-1 victory over Oxford, while Rochdale will have home advantage against Notts Forest after Matt Done hit a hat-trick in a 4-1 win over Aldershot.