The Owls guaranteed themselves a spot in the Championship playoffs.
The Owls pulled a rousing second-half performance out of the bag to beat the stubborn Welsh outfit, with two goals from Gary Hooper, either side of a Lee Peltier own goal on 75 minutes, doing the damage which guarantees Carvalhal's side a top-six finish.
Wednesday, who sit sixth in the table, three points behind fifth-placed Derby County with one game to spare, went into the clash on the back of some poor form, having drawn three and lost one of their previous four outings in a run of form which perhaps makes the emphatic nature of Saturday's win all the more impressive.
This is the 50-year-old's first season at Hillsborough, and the Portuguese manager has only good things to say about his troops
"I said from the beginning that we were outsiders this season. We achieved this place because we have a fantastic group of players, they're acting like a team, we are one as a team," he said via Eurosport.
"We did very well in this kind of game - the sort of game to decide things. The answer today was fantastic, it was a very good performance, we attacked very well, we defended well.
"We are the team that have a new coach, a new philosophy, we've changed a lot of things in the club. We feel strong at the moment, like at the beginning of the season. We saw that today. We saw the reaction when we lost the ball - we were like dogs."
Wednesday are likely to finish sixth and face the side who come third this season, which, at the moment, looks like Brighton & Hove Albion, though it could change on the final day next weekend.