I just had this problem today when I forgot to change my gear before commencing the duty roulette. I ran Brayflox until after the first boss in my new un-glamoured casual clothes because I thought I couldn't change until I finally tried changing items separately. I was so embarrassed. But since it was the leveling roulette, I was synced, and my iLvl was still over 100, I don't think anyone really noticed, thankfully.