Despite the fallout from Ozzy Osbourne's alleged "emotional affair," daughter Kelly Osbourne told "The Insider" that her parents are still together.

"My mom and dad are together right now," Kelly revealed to "The Insider" on Thursday at the Babes for Boobs auction, adding that her family's bond is too strong for her father's alleged mistress to pull apart.

WATCH: Ozzy Osbourne's Alleged Mistress Steps Out as He and Sharon Reunite

With Father's Day on Sunday, Kelly promised that her relationship with her father is intact.

"I will never not be good with my dad," she said. "That does not mean that I think what he did wasn't f**king stupid, but that's between him and I. I'm a daddy's girl. I love my dad."

In May, Sharon Osbourne announced that she was leaving her husband of 33 years amid allegations of a cheating scandal. Days later, Sharon showed up to support Ozzy at a press conference for the rocker's Ozzfest performances.

EXCLUSIVE: Ozzy Osbourne's Alleged Affair Has Been 'Hard on the Family, Especially Kelly'

"It's business," Sharon told ET at the time, referring to her role as Ozzy's manager. "People have forgotten, because they see me every day on the chat show ("The Talk"), but this is still the other half of my life."

Even with the issues in her own family life, Kelly has remained mindful of the greater world issues -- particularly the victims of the Orlando massacre. Earlier this month, she revealed a tattoo of the word "solidarity" on her head, a move that was prompted in part by the deadly tragedy.

WATCH: Kelly Osbourne Breaks Silence After Ozzy's Alleged Affair With 'Lemonade'-Inspired Post

"The senseless acts that people are doing to instill fear in us, I will not let happen," she said. "If I have to stand up in front of the world and tattoo my head to show that I am not afraid, I will because I need to make sure that other people in this world know that we are not alone. We should not be afraid. We should all be dancing together and celebrating the lives that we've unfortunately lost. They were just out having fun. That was their only crime."