TMZ has learned Dr. Conrad Murray is in L.A. and plans to surrender tomorrow morning in an L.A. courtroom in connection with Michael Jackson's death ... sources tell TMZ.

As we first reported, the Los Angeles County District Attorney will charge Dr. Murray with involuntary manslaughter as early as this week. Based on Murray's plan to surrender, the charges would have to be filed before the court appearance.

What is unclear: Will Dr. Murray surrender or will the LAPD arrest him and take him into custody?