"He's good," Osbourne said on television's "Live with Regis and Kelly. "He's at home complaining, so he's fine."
Osbourne said his father "won't be 100 percent" for at least six to nine months, noting doctors were optimistic about his progress, which was coming along in "leaps and bounds."
The 18-year-old television personality also said it was unclear how soon his father might go back to touring.
The third season of MTV's hit reality series, "The Osbournes," which follows the outrageous antics of the rocker's clan, premieres Tuesday night.