Dr. Conrad Murray -- WHO WANTS TO BE MY PUBLICIST?!

Looking for a job as a celebrity publicist?? Good news, Conrad Murray is looking to hire ... and with only 1 week left 'til he's out of jail , he wants to move fast ... TMZ has learned.

Multiple sources tell us ... Murray -- with the help of his GF Nicole Alvarez -- has been contacting publicists around town, hoping he can find someone who can help change his image and even book him gigs in Hollywood.

The game plan is obvious -- we've learned network TV shows are falling over each other to book Murray for the first post-jail interview, and a lot of money is being offered. And we're told he's been writing a book as well. Based on what we know a reality show is not out of the question.

It's unclear what the PR job would pay -- or how Murray will pay -- considering he's dead broke.

Then again, maybe he's trying to get his singing career off the ground ...