A native of Mount Clemens, Michigan, Weber played football at Michigan in 1925 and 1926 as a halfback and fullback in the same backfield with College and Pro Football Hall of Famer Benny Friedman and College Hall of Famer Bennie Oosterbaan. In 1927, Weber scored two touchdowns against Wisconsin in Fielding H. Yost's last game as Michigan's football coach (also the last Michigan football game played at Ferry Field). Michigan won the game, 37–0. The next week, Michigan played Ohio State in Columbus, and an anxious Weber was quoted as saying to Oosterbaan, "Ben, at this rate they're going to beat us 40-0." Oosterbaan reportedly replied, "Dammit, Wally, we haven't had the ball yet."