The 26-year-old is the daughter of Sharon and Ozzy Osbourne.
And Kelly has been left feeling mortified after Sharon recently revealed that her rocker husband has mastered the art of texting, and the couple have since enjoyed exchanging raunchy messages.
Osbourne said: 'When it comes to embarrassing mothers, mine wins hands down. Mum recently decided to tell the world how my dad has finally entered the 21st century and learnt how to text - and now they've discovered sexting!
'Well, if this is true, I doubt very much that any of it would make sense because neither one of them can spell to save their lives.'
The star also revealed that she has only just discovered how she recently injured her foot.
Writing in her Closer magazine column this week, she added: 'This week the doctor finally found out how I hurt my foot. Running too hard on the treadmill caused me to pull the tendon away from the bone and give myself stress fractures.
'Now it's just a matter of time before it heals properly and gets back to normal. Thank God, because I was starting to get sick of people looking at me like I was a lunatic when they asked me how I did it and I couldn't answer.'