All backers support the Organization for Recorded Culture and Arts (ORCA), forming the round during an ORCA discussion on the future of independent music.
The Paris Commitment urges governments, tech firms and cultural industries to ensure human creators remain protected and fairly remunerated in the AI era.
Suno argued that granting the labels' request would deny the company a timely ruling on whether training its AI model on copyrighted music is fair use.
The move comes less than three months after a federal judge in Manhattan declined to throw the case out of court, rejecting the defendants' bid for dismissal.