Sterling’s impressive displays caught the eye of England manager Roy Hodgson, with the Liverpool forward starting the 4-2 loss to Sweden in November.
Morgan, who made 236 appearances for the Red Devils, believes Sterling, who is yet to pen a long-term deal at Anfield, is one of the best young prospects in England and the teenager would fit in perfectly at United.
“I think United should attempt to buy Liverpool’s left winger Raheem Sterling,” Morgan told the Manchester Evening News.
“Sterling is the first winger I have seen in a long time who looks like a proper winger. He looks very good already and I think he is going to be great.
“If you just let him go wide on the outside of the full-backs all the time I think he will be a great player.
“He’ll frighten people to death, so long as nobody coaches it out of him. He’s the brightest prospect out there and would suit United.”