The 1961 Sugar Bowl featured the second-ranked Ole Miss Rebels and the unranked Rice Owls.
After winning the game, the Rebels were named national champion by the Football Writers Association of America (FWAA), although Minnesota was the pick of AP and Coaches' Polls.
In the first quarter, Rebels quarterback Jake Gibbs scored on an 8-yard touchdown run.
In the fourth quarter, Ole Miss put the game away with a 3-yard touchdown run from Gibbs as Ole Miss won, 14–6.
Rice won the statistical battle, but their quarterback threw 4 interceptions, and the team made some key mistakes.