The Chicago Cardinals made Aldrich the first selection in the 1939 NFL Draft, in which his TCU teammates O'Brien and I. B. Hale also were selected in the top ten. He played two seasons for the Cardinals before moving to the Washington Redskins. After two seasons in Washington, he left to serve in the Navy during World War II. He returned to the Redskins in 1945, and retired in 1947. During his professional career, Aldrich averaged 50 minutes of playing time per game.
After retiring from football, Aldirch served as the superintendent at the Lena Pope Orphanage in Fort Worth, Texas. His first wife was the daughter of the founder. He died March 12, 1983 in Temple, Texas.