Dodd's career included Georgia Tech leaving the Southeastern Conference. The initial reason for them leaving was a feud between Dodd and Alabama Crimson Tide Coach Bear Bryant. The feud began when Tech was visiting the Tide at Denny Stadium in 1961. After a Georgia Tech punt, Alabama fair-caught the ball. Chick Granning of Georgia Tech was running down to tackle the receiver of the punt, but relaxed after the signal for the fair catch. Darwin Holt of Alabama continued play and hit his elbow into Granning's face. This caused severe breaks in Granning's face, a broken nose, and blood-filled sinuses. Granning became unconscious and suffered a severe concussion. These injuries left him unable to play football ever again. Dodd sent Bryant a letter asking Bryant to suspend Holt. Dodd felt that Holt injured Granning on purpose. Bryant never suspended Holt. The lack of punishment made Dodd angry and caused him to want to leave the SEC.