James Taylor Fleeting (born 8 April 1955) is a former Scottish football player and manager.
Fleeting began his professional career with Norwich City, making only one appearance before joining Ayr United, where he stayed for six years. He went on to play for Clyde and Greenock Morton (where he was assistant manager to Willie McLean), before joining Clyde again. He was appointed manager of Stirling Albion in the summer of 1988, before leaving the club and joining Kilmarnock as manager from 1989 to 1992.
Fleeting has since worked as the director of football development for the Scottish Football Association, training coaches at the National Sports Centre in Largs. José Mourinho and André Villas-Boas both obtained UEFA qualifications at Largs.
Fleeting is the father of former Scotland women's national football team player Julie Fleeting. In 1998 he served as the women's national team coach, prior to the appointment of Vera Pauw.