The team's statistical leaders included Walter McReynolds with 728 passing yards, Paul Piper with 475 rushing yards, and John Sylvester with 251 receiving yards.[2] Two Rice players were selected by the Associated Press (AP) and/or United Press International (UPI) as first-team players on the 1963 All-Southwest Conference football team: center Malcolm Walker (AP-1, UPI-1); and guard Johnny Nichols (AP-1).