The 1958 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 1958 college football season. Led by 10th-year head coach Alexander Durley, the Tigers compiled an overall record of 5âÂÂ5, with a mark of 2âÂÂ3 in conference play, and finished tied for fourth in the SWAC.