Covert was inducted into the Beaver County Sports Hall of Fame in 1996, the College Football Hall of Fame in 2003, the National Italian American Sports Hall of Fame in 2004, the Western Pennsylvania Interscholastic Athletic League Hall of Fame in 2009, the Pennsylvania Sports Hall of Fame in 2012. He had been nominated for the Pro Football Hall of Fame on numerous occasions. On January 15, 2020, Covert was elected to the Pro Football Hall of Fame Centennial Class of 2020.