Im so lost.. Help me!!!!

Okay lady's I need some advice. Here's the dish.. Im 27 yrs old and so is my bf we've been dating for a few months and I will say things are a little serious between us. I am a single mom of 3 so in my own words I have no time for bull shit. When I first met him it was clear that he liked to drink after that I told him that I didn't like it and I had already been down that road before with an X and I wouldn't go thru it again.. So he actually stopped drinking for a few months but now for a few weeks he started drinking again.. We talked about it again and he said that he's going to work on it. I just feel like he'd really not and I don't know what to do? He's husband material and everything between us is so good he's great with my kids but there's just that one issue " alcohol"!! Do I stay in this relationship and help him work thru this??? OR Is it better for me to just walk away now????