I think the turning point for me with my alcoholic husband was my mother telling me I was in the prime of my life, and what shape would I be in 5 years from now if I stuck with my husband and his drinking? That was a good question to ponder. For me, I realized then that I had to make something happen and we separated not long after.
If the drinking is a problem for YOU, then it's a problem.
He may not ever cop to having a drinking problem. Not even if you leave him.