The 20-year-old defender was in the stands at the Liberty Stadium on Saturday afternoon to watch his new team-mates lose to Bristol City, having put pen to paper on his move.
“I am super excited," said Carter-Vickers.
“Swansea is a massive club and I can't wait to get out training with the boys.
"“When I spoke to the manager he told me how they wanted to play. I have watched them play a few times this season and you can see they play good football. I am looking forward to being part of that."