The 1978 Southwest Conference men's basketball tournament was held March 2âÂÂ4, 1978, at The Summit in Houston, Texas. The first round took place on February 25 at the higher-seeded campus sites.
Number 3 seed Houston defeated 1 seed Texas 92âÂÂ90 to win their 1st championship and receive the conference's automatic bid to the 1978 NCAA tournament.
The tournament consisted of 9 teams, seeds 2-8 played in an 8 team single-elimination tournament with the winner playing the top seeded team in the tournament final.