No Self and No suffering: does one lead to the other?

So after reading these two writings I got the feeling they were related. No-Self pretty much lays it down in clear words, there is no self in your material body or material world. If we grasp this it "conduces to his welfare and happiness" So by giving up our idea of self we can avoid suffering. The Four Noble truths also address suffering, lableing what it is, where is comes from, how it can stopped and the path to get there. Basically when we give up the phsyical sensations of the body that we have cravings for we can escape the suffering. I beleive this relates to no self because if we are not actively expirienceing ups and downs of life, Like the Middle Path to Extinction of Suffering, we can be more whole. Now do I beleive this? absolutely not. But I see where the Teachings of the Buddha are pointing and what followers of this train of thought subsribe to.