The 18-year-old arrived at the Liberty Stadium from Stoke City on Monday afternoon to sign a two-year deal, with the move receiving the relevant approvals.
Scott has spent the last two years at Stoke after moving from his home-town club Bristol City.
"I'm really pleased to be here," said Scott, who will link up with Kristian O'Leary's squad in Development League Two South. "Swansea is a great club and they play excellent football.
"The way they play the game suits me and I'm looking forward to try and make an impact in the Under-21 squad.
"This is a good move for me and one I'm really excited about."
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