Lil Wayne -- I Want Another Shot at Quincy Jones III

Lil Wayne isn't rolling over after losing his massive legal battle against Quincy Jones III -- TMZ has learned, the rapper's now taking steps to get another shot at Quincy in court.

TMZ broke the story back in November ... Weezy was ordered to pay Quincy $2,195,000 in the wake of the producer's lawsuit against the rapper.

Wayne had claimed Quincy released a "scandalous" documentary about him, and used his music in the flick without his permission. Quincy shot back, claiming Wayne's legal tantrum torpedoed his film's profit potential by miring it in litigation. The jury decided in Quincy's favor.

Now, Wayne's filed docs declaring his intent to appeal the jury's decision. He's got a month to file the actual appeal itself.