McEver was the first ever All American for the Tennessee Volunteers football team. He played for them in 1928, 1929, and 1931 for coach Robert Neyland. McEver missed the 1930 season with a knee injury. McEver scored 130 points for the Volunteers in 1929, helping them to a 9-0-1 record. The total led the NCAA in scoring that year. That total is still the record for most points in one year at Tennessee. McEver also holds the record for career scoring at Tennessee among non-kickers.