Jordan, 50, and Prieto, 34, a model, arrived unannounced Thursday and were processed like any other license applicants, Palm Beach County Clerk and Comptroller's Office spokeswoman Kathy Burstein said.
"I know some people shook his hand but I don't think he lingered too long," Burstein said.
Jordan, majority owner of the NBA's Charlotte Bobcats, and Prieto each listed their residence as Jupiter, Fla., where he owns a home, the South Florida Sun Sentinel reported.
The marriage, which the pop culture website TMZ reported is scheduled for Apr. 27, would be Jordan's second.