Chris Brown -- Roaring to the Finish in Probation Case

Chris Brown has made community service his full-time job for the last 6 weeks ... and his goal is to get it all done within weeks.

We've learned, since November 13, Chris has been doing physical labor 6 hours a day, 5 days a week to complete his 1,000 hours by the next court hearing in mid-January. There have been a few weeks where work has gotten in the way, but the drill is 6/5.

Chris' community service in the Rihanna case requires hard labor, and we're told he's working at a facility approved by the Probation Dept., painting, cleaning, trash removal, moving furniture ... stuff like that.

Last Friday Chris put his 6 hours in and then jumped on a plane to Jacksonville, FL where he performed that night at the Memorial Arena. He then flew to Columbia, South Carolina for a Saturday show, then on to Birmingham, AL for a Sunday performance. He took a private jet back to L.A. for hard labor Monday.

And we're told ... he hasn't complained or acted up.

Our sources say he's on track to tell the judge during the next court appearance ... mission accomplished.