Addiction of any form takes over and the affects of these behaviors do bleed out into the rest of ones life.
Pay attention to what he is doing to over come this and it will not happen over night either.
I would suggest he get in IC, together you go to MC, and you do a alanon group or IC. If you want your marriage to work then be proactive about it now.
It was most likely a very hard thing for him to admitt to you.