Carlos Carvalhal saluted his players and told them to dream of Wembley after booking Swansea's first FA Cup quarter-final appearance for 54 years.
Swansea will entertain the winners of Wednesday night's replay between Tottenham and Rochdale in the last eight next month.
Their last appearance at this stage of the competition came in 1964 when Bill Shankly's Liverpool were beaten 2-1 at Anfield - the year before Carvalhal was born.
"I have 'Carlos had a dream' written here in my jacket," Carvalhal said, pointing to embroidery inside his blazer after second-half goals from Jordan Ayew and Nathan Dyer had settled the fifth-round replay.
Carvalhal is confident that Swansea can balance their battle for Premier League survival - they are currently in the relegation zone, albeit on goal difference - with their FA Cup campaign.
This was their sixth successive home win in all competitions, something they have not managed since 2007 and a promotion-winning season under Roberto Martinez.
Swansea struggled to break Wednesday down during a turgid first half played in freezing sub-zero conditions.