Although things are incredibly tight amongst those trying to avoid the Premier League drop, two defeats since Carvalhal took over in late December points to how far they have traveled.
"It was rock and roll here at the Liberty", he told reporters.
It's hard to pick out just one, as it was a brilliant team performance that "danced" around West Ham to "our music" as Carvalhal put it, but I've gone with Andre Ayew. "I am very happy, we made an important step this afternoon".
Andre Ayew was involved in three of the goals against his former club, while brother Jordan produced an equally impressive performance and claimed his 10th goal of the campaign from the penalty spot.
"We wouldn't look at it again until we find out what league we are in".
Moyes said: "They left several players out of their team, but they have improved and they have gained confidence". The Hammers center back was eventually stretchered off as Mark Noble and Swansea's Andre Ayew (formerly of West Ham) squared up in the aftermath.
But they had to display mettle after a 4-1 setback at Brighton last weekend, with Dutch defender Van der Hoorn, saying: 'We showed that was just one bad day.
"That was the poorest performance since I came here". For the third, he helped the ball on following Clucas' corner for King to finish from close range, and the fourth - Andre won the penalty that his brother put away. We had no intensity in our play, we thought we could just stroll about.
The 29-year-old defender was taken to hospital for scans but after the match West Ham manager David Moyes said the head injury was not their primary concern.
After 10 minutes added time, the two teams finally got to the break - but unfortunately for the Hammers, the second half started much like the first.
"When he's fallen, he's hurt his knee in some way, and that's our bigger concern".
'I feel I am getting there.