Meek Mill‘s judge will NOT remove herself from his drug and weapons case … despite the Pennsylvania Supreme Court inviting her to do so … TMZ has learned.

Judge Genece Brinkley maintains she has been and will continue to give Meek a fair shake, this according to her lawyer A. Charles Peruto, Jr.

Peruto tells TMZ the judge does not feel the Supreme Court in any way repudiated her rulings when it ordered that Meek go free without…