James Henry Sullivan (14 November 1904 – May 1974) was an English professional association footballer who played as a centre forward. As an amateur centre-forward Jimmy Sullivan scored 23 goals for Barrow Reserves, which led to him entering League football with Crewe Alexandra. In his first season at Gresty Road he scored 16 times in 26 Northern Section matches and had added a further six in 10 matches in the next season before joining Notts County in October 1925.