A lawyer for Harvey Weinstein has asked to move the former Hollywood producer’s coming criminal trial out of New York City, saying jurors can’t fairly decide his case in Manhattan.

Mr. Weinstein, 67 years old, is scheduled to go to trial on Sept. 9 on sex-crime charges including rape. He faces the possibility of up to life in prison. He has pleaded not guilty and denied all accusations of nonconsensual sex.

In...