Conrad Murray -- Waiting for the Call

The L.A. County District Attorney's Office has told Dr. Conrad Murray's lawyers they will call just before Dr. Murray is charged with the death of Michael Jackson and a surrender will take place almost immediately thereafter ... law enforcement sources tell TMZ.

Our sources say ... as of 8:35 AM PT, the D.A. has not made the call.

As we reported yesterday, Dr. Murray planned to surrender today and appear in arraignment court after being charged with involuntary manslaughter in the death of Michael Jackson. The ball is in the D.A.'s court.

Dr. Murray is waiting.