"[Nancy Dolman] was under the care of a private physician for a natural disease," L.A. County Coroner Chief Craig Harvey tells PEOPLE. "There will be no coroner involvement."
Dolman had been battling cancer, according to a 2007 tabloid report, but a publicist for the actor declined to comment on the cause of death.
The actor's wife passed away Saturday after a 911 call was made from Short's L.A. home.
Dolman and Short, who were married 30 years, had three children: Katherine, 26; Oliver, 24; and Henry, 21.