Early recovery is such a rollercoaster for friends and family. At least he recognizes that he has a problem and is working on it. Hang your hat on that. A lot of folks don't even get that far.
In the meantime, what are you doing for you? Are you going to Al-Anon or personal therapy? I do not do Al-Anon, but I have made leaps and bounds in personal therapy -- not marriage counseling, not addiction counseling, but one hour once a week that's totally about me and my messy feelings and how to get where I want to be.
One of the major challenges I had when my AH was beginning recovery was having realistic expectations about what recovery looks like and what to expect from him. I had an ideal image in my mind and every baby step he took I felt was progress towards that vision! Talk about pressure. And talk about disappointment when he failed.
Therapy helped me get off the rollercoaster, so I could see the high and low points for what they were, and keep a long view of what I could manage.