I cant seeing it being a problem. Bleach is one if the harshest chemical processes that we do and I personally, the one thing I will always take into mind is how healthy I'm going to leave my clients hair no matter what I do too it. So in my opinion, useing Innoluxe with blondeme bleach will more than likely leave the hair in a lot more healthier condition than just useing the bleach alone. Hope this helps.