The Ghanaian received a straight sending off in the goalless draw at The John Smith's Stadium following a challenge on Jonathan Hogg
The incident occurred in the 11th minute, leaving the Swans to sweat it out for 79 minutes with 10 men.
"It [incident] was right in front of me,” said Carvalhal.
“I don’t usually talk about refereeing decisions, but I think this one was from the fourth official.
“To me, it was not a red card. I thought that at the time, and I think the same after watching the video.
“Two players fought very hard for the ball and their feet were in exactly the same position. They were both fighting for the ball.
“If it’s a red card to one then it should be a red card to both of them. I think Jordan slipped a little on the pitch and their player did the same. They were like two bulls colliding.
“We will analyse it and see if we have reason to appeal. Let’s see.”
Jordan's red card, the fastest by any player in the English topflight this season, will see him miss three games if not rescinded.
“Of course I would rather have Jordan available than not for the next three games,” Carvalhal added.
“He is a player I like a lot but, if Jordan does not play, we will play with another player.
“When we lost (Leroy) Fer, he was our best player at that time. We lost Renato Sanches who would be in the 11 and we then lost Wilfried Bony.
“We are still playing and still fighting even without them. We have shown character to get results and that is what we will keep doing.”
It will be a big blow to Swansea should they have to do without Jordan, who has been adjudged the club's best player in both January and February.