"He's not perfect but I can't believe how much he's changed," Minaj said.
Common Pleas Judge Genece Brinkley is threatening to send Mill back behind bars. Prosecutors say the 28-year-old rapper violated parole in a 2009 drug and gun case by repeatedly changing his court-approved travel schedule.
Nicki Minaj on Dating Meek Mill: 'We're Just Like Any Other Couple in the Hood'
Minaj and Mill recently attended the American Music Awards in Los Angeles, where Minaj picked up two awards.
Defense lawyer Frank DeSimone said the music industry is chaotic, and Mill is not trying to disrespect the judge. He also said Minaj and Mill are serious about getting married.
Mill is due back before Brinkley on Dec. 17. The judge said Mill, whose real name is Robert Williams, also submitted a suspicious urine sample.