The SWC writers picked A&M near the bottom of the conference entering the season. Charlie Milstead returned at quarterback. But the team fell to independent Texas Tech to begin the season (the Red Raiders would join the conference in 1960). However, A&M bounced back to shock Michigan State, 9-7, on the road. Milstead scored the team's lone touchdown and made the game-saving interception in the fourth quarter. After a 7-3 win over Southern Mississippi, A&M made it three in a row as Milstead and Gordon Leboeuf both scored in a 28-6 blowout of Houston. TCU blew the Aggies out, 39-6, the next week. It was the widest margin of victory for TCU since the series between the two teams began in 1897. After the loss, leading rusher Jesse McGuire abruptly quit the team, withdrew from school and returned home to Plainview. He did return to school that week but didn’t continue his playing career. A&M was blanked by Baylor, turning the ball over five times in the 13-0 loss. They fell to No. 17 Arkansas the following week. Against SMU, a Milstead completion to Randy Sims fell inches short of the goal line, and A&M lost, 14-11. In the finale, A&M held a 17-14 lead over No. 5 Texas late in the fourth quarter. But UT quarterback Bobby Lackey’s one-yard plunge gave the Horns a 20-17 win and a berth in the Cotton Bowl. Milstead finished his career as the school’s all-time yardage leader with 2,501 total yards. A&M finished the season 3-7.