Sterling has been the subject of intense transfer speculation this week after telling the Anfield club he will not sign a new contract.
United were reported to have made an enquiry for the 20-year-old but given the rivalry between the two clubs, Scholes was unsurprised to see any interest get knocked back and feels staying at Liverpool is best for his career.
He told the Independent: "I wasn’t surprised to see Liverpool knock back United’s inquiry, as reported, about Raheem Sterling.
"I can recall Gabriel Heinze trying to go the other way and being told it just wasn’t going to happen.
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Raheem Sterling's Liverpool future is in doubt
"As for Sterling, I don’t think it would be as serious a move as United signing a born-and-bred Liverpudlian like Steven Gerrard, but clearly selling to one another is not something the two clubs like to do.
"My view on Sterling has not changed. He is a good player but Liverpool looks like the best place to develop his talent. There is still a lot of room for improvement."
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