This is really between you and God. Not for us to advise any particular course of action. He has only been sober for a week. It is far too soon to draw any conclusions about the long term prospects.
I think in breaking it off, you did a good thing as evidenced by him getting help. I feel it might be wise to see how that pans out. It is better if you can avoid becoming the reason he is staying sober. That kind of load will be too much for you, and eventually, if you should somehow let him down, he will be drinking again.
I also think it is a good idea to keep the lines of communication open. Remember, he is a sick man, not a bad man. I don’t like the idea of dumping him just because he is alcoholic. There is more to him than that. On the other hand, if your really feel there is no future for the two of you, regardless of his alcoholism, then it might be better if you were out of his life.
I suggest giving it a bit more time and reflecting on what it is you want out of life.