Thurman "Fum" McGraw (July 17, 1927 – September 13, 2000) was an American football player and college athletics administrator.

At Paonia High School, he won four letters in basketball, three each in football and baseball and was the Western Slope heavyweight-boxing champion.

Working diligently at his game, McGraw called upon lessons learned as a boxer and wrestler to fashion himself into a special breed of football player.

Then, in 1948, the Aggies posted upsets over rivals Utah State, Wyoming, BYU and archrival Colorado.

The 1949 campaign, McGraw's last as a four-year letterman, saw the Aggies log a 9–1 record marred only by a loss to Wyoming.