Ozzy apologized to Sharon, his wife of 31 years, and their children on Facebook this week after media reports said the couple have been living in separate residences in Los Angeles.
The Black Sabbath front man admitted he had been using drugs for about 18 months, but has been sober for 44 days.
However, TMZ said Sharon doesn't want to resume living with the musician until he has been sober for a longer period of time.
"They've been through hell and back together. They're not breaking up," one insider told TMZ.