Porn and Relationships, Stay with him or move on?

Is their a cure for pornography addiction? Me and my boyfriend of 3 years have always had intimacy issues. He is 31 and I am 26, this is his first serious relationship. We were only having sex once every couple of months, and at first I thought he just really didn't like sex. When I would ask if he was in the mood, he said "no" or that he just didn't have time for me. But then I found him masterbating to porn, and found out that he did quite frequently, even when I was at home. He refused to talk to me about it, or share this sexual side of him. Eventually, after trying everything I could for months (lingerie, shaving, working out, boosting his self esteem, talking to a counselor etc.) I left him. We didn't talk for weeks and then he told me that he wanted to make a change and started seeing a therapist. He said that he had never had a regular sex life and has always felt inadequate in the bedroom.
He has been seeing a therapist every week for month, and I notice a definite change in his whole lifestyle and attitude, which I am very happy about. We are trying to work things out, but on the condition that he never falls back into his pornography addiction again? Is it possible that we can work this relationship out? Am I asking to much of him, when porn has always been apart of life?
I am afraid to make myself vulnerable to him again, but I do love him. What should I do? Stay with him or move on?