James Francis Winn (born September 23, 1959) is a former professional baseball pitcher. He played all or part of six seasons in Major League Baseball from 1983 to 1988.
Winn was born in Stockton, California and attended John Brown University in Siloam Springs, Arkansas. On June 8, 1981, he was drafted by the Pittsburgh Pirates in the 1st round (14th pick) of the 1981 amateur draft. Winn played his first Major League Baseball game on April 10, 1983 with the Pittsburgh Pirates.
Winn played for the Pittsburgh Pirates from 1982 to 1986. On March 27, 1987, he was traded by the Pittsburgh Pirates to the Chicago White Sox for John Cangelosi. He was released by the White Sox during spring training in 1988. He signed with the Minnesota Twins shortly thereafter and finished his major league career with them.