Bleaching my hair white from red?

I recently had to dye my dark brown hair a level 5 vibrant ginger color about two to three weeks ago for modeling. Now that I'm done modeling until september I want to go blonde-white for awhile. I'm not considering doing this at home, I want to get it done at a salon but do you think it's even possible to get bleach white hair even if the hair still has dye in it? And I know it's hazardous to my hair, but I only dyed my hair twice in my life. Do you think it's possible?