Lindsay Lohan Killin' It at Morgue Duty

Maybe structure is exactly what Lindsay Lohan needed -- because ET has learned she's not only on pace to complete her court-ordered stints at the morgue ... she's WAY ahead of schedule.

Law enforcement sources tell us ... Lohan has already completed 10 of her 12 required morgue duty shifts -- impressive considering she still has another THREE WEEKS to spare.

In fact, we're told Lindsay doesn't just plan to knock out the remaining two shifts by the Dec. 14 deadline -- but she also wants to get a head start on the hours she has to complete by her 2nd status hearing.

Law enforcement tell us ... Lindsay has a pretty damn good reputation at the morgue -- polite, hard-working and never complains about the work.

Judge Sautner had said her sentence essentially put the keys to Lindsay's freedom in her own hands -- and at this point, it looks like she's making the most of her opportunity to stay out of the clink.