Before the Draft, Vince Lombardi would pressure Coach Bryant to persuade Pat to come to play for him with the Green Bay Packers after graduation. Coach Bryant responded, "Pat is too smart to play professional football ... he will go on to medical school to fulfill his personal goals." Trammell majored in Chemical Engineering and Pre-Med and would graduate from the University of Alabama with the highest attainable honors of President's List, Phi Beta Kappa, summa cum laude and Jason's Men's Honor Society. Of interest, he was drafted by the AFL Dallas Texans, but would never sign.