Six points adrift from safety, the Swans look condemned when Carvahal replaced Paul Clement in December.
But the Portuguese has turned things around and the Welsh club are only in the drop zone due to goal difference.
"The advantage is we have come from the bottom and we are progressing, we are only going in one direction," said Carvalhal.
"We were bad and a long way from the line of the water, now we are here and we have achieved more points than a lot of sides in recent games.
"So we are strong because we are winning points against good teams even if you lose one game or another, which can happen to any team in the world.
"We are winning more than we are losing, we are progressing and that makes us stronger and stronger.
"It is hard when you have a team that was in 10th place in November and starts to lose and you end up battling to stay in the league.
"Mentally that is more difficult, but this is all theory, in practice it comes down to fighting for three points at 3pm on Saturday.
"People can talk about being nervous or anxious, sometimes the first time you go to the dentist you are nervous, but experience is something you achieve and you try and know exactly what can happen.
"It is the same in the game, it is the part where we try to make our players strong and don't bring that anxiety, but you don't know what can happen.
"Things can change, but if the players know what to do they are confident and enhance the collective."
Swansea host West Ham United at the Liberty Stadium on Saturday.