No, that stuff is liquid gold!! I would suggest getting a bottle warmer or crockpot for him to warm the bottles. What I do is keep the milk in the refrigerator (I have it in breastflow storage bottles after pumping), and have enough of a supply for that day. Granted, it may be a VERY hungry day, and there are reserves either in the fridge or freezer. You can keep fresh milk in the fridge for 7 days, and if she doesn't drink all of one bottle, he can give it to her in the next feeding. It really isn't a big deal. Just don't let him toss the leftovers, put them in the fridge. What I usually do is pump all week, and take the milk to daycare as needed (sending the oldest fresh stuff I have), then, on the weekends, I freeze the extra (leaving enough fresh for Monday for daycare).
Also, as she starts drinking from the bottle, your husband will get a feel for how much is "usual" and you can put it in those increments if you need to, or just let him pour however much he needs into the bottle.