The Michael Jackson Estate has had just about enough of Dr. Conrad Murray running his mouth -- talking about things like how he used to hold MJ's penis every night -- and now it's demanding he shut up once and for all ... or face a lawsuit.
MJ Estate lawyer Howard Weitzman fired off a cease and desist letter to Murray earlier this week, writing, "Your recent comments to the media about Mr. Jackson’s medical treatment and ultimate death shamefully violate the physician-patient privilege under California law."
He calls Murray a COWARD for attempting to use the media to defend himself ... instead of testifying in court during his manslaughter trial.
If Murray keeps talking, Weitzman says the Estate will file suit -- and will subsequently inform any medical board with which Murray attempts to obtain his medical license that he violates the doctor-patient privilege willy-nilly.
As we reported, Murray has been blabbing his big mouth all over the place ... telling reporters all sorts of sordid details about MJ, like how the singer couldn't hold in his pee while he was sleeping ... and how he held MJ's penis every night.