The Wales U20’s captain signed a deal in the summer to play his rugby at the Swansea.com Stadium.
Morgan, 21, has featured in all but one Ospreys fixture thus far this season.
“I liked the set up here and what Toby was doing at the Ospreys and where he wants to take the team,” said Morgan.
“That was the reason I signed up."
“His vision was really important and he was very clear in what he wanted from the players and where he wants to drive the squad.
“The opportunity and chance to play, when you are young, is all you can ask for. He does that here and it creates a good atmosphere in the squad.
“It’s brilliant to have the chance to learn from boys, like Alun Wyn Jones, Justin Tipuric and Dan Lydiate, is something I am really looking forward to. I can only develop my game working with players like that.”
“I just want to enjoy my rugby and play as much as I can in my first year here.”
Morgan, who played for one of the Ospreys key four Premiership clubs Aberavon, paid tribute to the role the Wizards had on his development as a player.
“Aberavon played a massive role in my development and they gave me the platform in semi-pro rugby to step up into senior rugby and I really enjoyed my time there,” said Morgan.
“They helped develop my game, grow as a player and to get used to the demands of senior rugby.”
