Tommy Ford intercepted Glynn Griffing's pass, which gave the Longhorns the ball at the Rebels' 34.

But when Texas tried to make the two-point conversion, it fell short as the Longhorns held a 12–0 halftime lead.

Four minutes into the third quarter, Griffing drove his team 86 yards and threw a twenty-yard touchdown pass to Reed Davis to narrow the lead to five.

Ole Miss went undefeated the following year and won the Sugar Bowl, but USC was declared champion by both major polls (AP, UPI).

However, since other polls voted them champion, Ole Miss claims the 1962 title; their next Cotton Bowl was in January 2004.