Yet there have been setbacks.
In 1979, well before the likes of Lionel Messi, Roger Federer and Usain Bolt were born, Baze was tearing a disc in his lower back -- one of the few injuries that has continually bothered him in a career where he has broken a litany of bones.
Then then was the horse called 'Event of the Year,' which could have turned into the 'Event of his Career' in 1998. The best ride Baze had ever been given in the Kentucky Derby, the horse went lame just a week before the prestigious race.
"That was a low point, but these things happen," he concedes. "Given the choice, I would have won the Kentucky Derby a couple of times. But I am not going to cry about any of this stuff, because I've had a fantastic career."
Just before he turned 30, he chose to try his luck in Southern California where some of the country's best race tracks are located: Santa Anita and Del Mar among them.
Almost always finishing in the top 10 of the jockey standings during his three years there, he just did not ride enough winners -- by his own admission -- to make it financially worthwhile, so elected to return home to his happy hunting ground.
A better rider following the higher level of competition, he duly set about establishing his undisputed dominance -- finishing as the country's top jockey in terms of wins on 12 different occasions.
"His work ethic is amazing and he's never changed that," says long-term agent Ray Harris when asked about the secrets of Baze's success. "He's one of the greatest gentlemen and emissaries for the game in the history of the sport."
So much so that in 1999 he was inducted into American racing's Hall of Fame.
"Being in the Hall of Fame never even crossed my mind until I was nominated," says Baze, who oozes humility and understatement.
"I never started riding to win fame or accolades -- I just love riding. The fact I've got all these awards is great but that isn't the reason I'm doing it."
Or why he is still doing it -- for the recurring question is, of course, when Baze will finally hang up his stirrups? Some, including Harris himself, wonder if it may come next year, 40 years after it all began.
"Guys are always asking me when I will quit, but I don't have a date in mind," says the man himself. "I really can't think what I would do if I quit. I am healthy, in great nick and I love my job."
Which means he will have plenty of time to add to his win tally -- with Baze having been involved in a lengthy battle with Brazil's Jorge Ricardo for the title of 'world's winningest jockey'.'
Ricardo, 51, had 12,072 winners in July 2012 according to a website that tracks the rivals' battle, while Baze is -- at the time of writing -- on 12,043.
"I don't pay close attention to the statistics as it would be like writing an autobiography before you've actually finished," says Baze. "The number now is not going to be the number when I'm done."
The line is delivered in typically matter-of-fact fashion, a trait that prompted him to declare at one point during our interview: "I'm not the greatest interviewee, am I?"
To be fair, he didn't really seem to want to be. But then, when you've achieved as much as Russell Baze has, your actions shout so loud you don't need to say anything at all.