Prosecutors to Judge -- Lock Lindsay Lohan Up!

The L.A. City Attorney isn't wasting any time ... TMZ has learned, prosecutors have already filed papers asking the court to revoke Lindsay Lohan's probation.

TMZ broke the story ... the L.A. City Attorney had been planning to file docs asking the judge to revoke her probation in her jewelry heist case ... but now, it's official. As sources told us, prosecutors are "out for blood."

According to the L.A. City Attorney's office, prosecutors want Lindsay's probation revoked because of the criminal charges recently filed against her in Santa Monica, stemming from her car accident on PCH this summer ... after which she lied to cops about being behind the wheel.

But the City Attorney's move is just a formality -- the judge doesn't need prosecutors' input ... she'll be revoking Lindsay's probation on her authority alone.