The 1960 Texas Southern Tigers football team was an American football team that represented Texas Southern University as a member of the Southwestern Athletic Conference (SWAC) during the 1960 college football season. Led by 12th-year head coach Alexander Durley, the Tigers compiled an overall record of 4âÂÂ6, with a mark of 2âÂÂ5 in conference play, and finished sixth in the SWAC.