No one really knows. Many people do cycles all of the time and their hair is fine...Others lose tons of hair on cycle. I know that while on dutasteride, there are only certain PH/PS you should use.
Do some research on which PS/PH are ok to use while on dutasteride/finasteride...Then give it a try, it's the only way to really know. Personally, I think that because you're on dutasteride, you'll be just fine.