Swansea last graced the quarter-final of the competition 54 years ago, and Carvalhal pointed inside his jacket for inspiration ahead of a last-eight meeting against either Tottenham or Rochdale.
But Carvalhal said: 'It is a question of attitude.
"We are doing well in our home games and I think the challenge will be for the fans also".
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'We have made a big step forward and the important thing is to continue in the competition for as long as possible. "We have 90 minutes to try to get [to a semi-final at] Wembley, so let's see what happens".
But Swansea improved after the break and strikes from Jordan Ayew and Nathan Dyer condemned Wednesday to a third consecutive defeat. "I'm very proud of my players", the Portuguese manager told BBC Sport.
"I was born in 1965". I am happy we have achieved this.
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The first leg had played out to be a goalless stalemate and with the nothing to get out of the opening 45 minutes, Carlos Carvalhal threw his highest goalscorer in at the interval; a move that would yield dividend ten minutes later.
"Sheffield Wednesday created problems for us in the first game and also tonight", Carvalhal said to the Club website.
Ayew finished off a close-range attempt in the 55th minute, after Tom Carroll was unlucky not to score just prior when he struck both posts with a venomous strike from long distance.
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Kristoffer Nordfeldt parried Jacob Butterfield's swerving shot from outside the area just before the half hour and the Swansea keeper reacted sharply to keep out Jordan Rhodes' diving header from Lucas Joao's cross.
And Owls manager Jos Luhakay felt his Sky Bet Championship side were punished for failing to convert early opportunities.
"The first half was in the balance and you could not see who was the better team", said Luhukay.
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"We had two or three good chances to score but we did not do so". "Swansea have now made the best path in the Cup since then so it's a little part of history and we are happy about that".