Sinclair could make his Man City debut on Saturday, when Roberto Mancini’s team face Queens Park Rangers.
“I’m just glad everything is settled and that I’m now a City player,” Sinclair told the club’s official website.
“There were times when I thought it might not happen so I’m relieved that I’m here and I can’t wait to get started.
“Playing alongside some of the best players in the world is exciting for me and when you see two Champions League fixtures against Real Madrid on the horizon, it brings it all home.”
