Alcoholism recovery is a daily and lifelong commitment. Is he going to AA or some other support group? In my long experince with it, it is nearly impossible for a legit alcoholic or addict to "quit" without tons of assistance. Is he willing to go to treatment? That to me would be a big sign of commitment on his part, but I doubt he will be willing.

Most addicts only stop when they, themselves are done. Often, it is after losing absolutely everything, including job and kids. And of course, significant other.

He needs to show you he is committed to trying. That means going to treatment, in my long experience with this.

Hugs and love. Hang in there. But please do not waste months more of your life waiting on someone who will not take a step to help themselves. Take cae of you. There are tons of good guys out there who are sober.