Playing sparingly in 1961, but winning the "unofficial" 54-hole Sahara Pro-Am in Las Vegas, Nevada, Rodgers started his first full year on the PGA Tour in 1962, which began with the Los Angeles Open. Tied for the lead after 54 holes with Fred Hawkins at 206, Rodgers ran away from the field shooting a 9-under-par 62 making 9 birdies and 9 pars to win his first championship by 9 strokes.
Rodgers's early career on the PGA Tour was marked by a victory in an unofficial event, followed by a successful debut year. He demonstrated his talent and potential for future success with a dominant performance at the Los Angeles Open.