The Jordan logo is part of Nike branding. Last season Nike began an eight-year apparel deal with the NBA in which Nike's logo appears on all 30 NBA team's singlets.
The deal is reportedly worth around US$1 billion.
33- year-old Smith said earlier this year that he wasn't paid to have the clothing brand logo inked on his calf.
"I got the tattoo the other day," he told Complex.com.
"There was a lot behind it. People were like, 'Are they paying you for it?' and I was like, 'No,' so they were like, 'What are you doing it for?' And I was like, 'That's who I am. That's why I am who I am.' It worked out."