Wednesday made a slow start under the Portuguese boss, but Carvalhal believes his side turned the corner after drawing with Bolton.
The Owls are now in promotion contention in the Championship, and Carvalhal believes his side will only get stronger as the season progresses.
“I said it before, I hope we can do a second half better than the first,” Carvalhal said.
“For the first games we were not full, not completed.
“Really we started the season after this, after the Bolton game. This is when we really started to do the season.
Since their draw with Bolton back in September, Wednesday have only lost three times in the league, and they have accelerated up the standings quickly.
The Owls are now one of the most feared opponents in the second tier, and they have managed to go unbeaten in their last 14 home matches.
Wednesday have further strengthened their squad in January, too, with Aiden McGeady arriving on loan from Norwich City and Gary Hooper signing permanently from Norwich City.
Carvalhal’s side’s next fixture comes against Birmingham City on Saturday, and if they are able to pick up a victory, they could break into the play off spots.