Following a poor start to the season, the Jack Army currently sit bottom of the table, a situation that prompted the recent appointment of Carvalhal as replacement for the misfiring Paul Clement.
The Portuguese’s introduction looked like a masterstroke on Saturday as in his first game. He masterminded a priceless 2-1 away victory over Watford - a match in which Ayew registered an 86th minute equaliser.
“The gaffer [Carvalhal] came in and asked me to be the leader in the dressing room,” the Ghana forward told BBC Sport.
“I try to do that, I try to show it on the pitch as well as with my running, with my commitment, with my fighting spirit and that’s what I try to do now.
“I don’t like to lose because I think I can do much more, I can give more to the team.”
Jordan then shed light on Saturday’s dramatic comeback win.
“It’s a massive feeling,” said the 26-year-old.
“It was incredible that we got rewarded because we really worked hard. It’s a good step forward.
“The manager told us to do the basic things. He said if you don’t run you come and sit down next to me [on the bench].
“I don’t like to lose because I think I can do much more, I can give more to the team.]”
Swansea next host Tottenham Hotspur on Tuesday.
Jordan’s Saturday strike took his season goal tally to three in the topflight.
