Forum:Hand size limit vs WSoL

Let's say I have 7 cards in my hand during my end phase and I discard White Stone of Legend because of the hand size limit. Being a trigger effect monster, I believe I have to add a Blue-Eyes from my deck to my hand, but I will end up with 7 cards in my hand. My question is : Do I have to discard again to have only 6 cards in my hand?