The 26 year-old told E! Online: 'I'm putting it off until I become a cripple. There's no way I could do it.'
Osbourne is having to have the double operation because of long-standing problems.
The star added: 'They're going to break four bones in my feet and some ligaments. When I saw what was actually involved, I was like, No!'
For the time being, she says she is just going to grin and bear it.
The daughter of Ozzy and Sharon Osbourne added: 'It hurts. But I'm not going to do it. I'll just put up with it until I can't put up with it anymore.'