Sharon Osbourne recently opened up about her own health turmoil, sharing how late husband Ozzy Osbourne feared he was going to lose her after she received a devastating diagnosis

A source tells PEOPLE that Sharon Osbourne is "heartbroken" by husband Ozzy Osbourne's death. They add that the TV personality has found "a lot of comfort" from the "family time" they spent together before her late husband died on July 22.