Breastfeeding and Sleep

I just found out last week that even if your baby is doing their nights and sleeping all night, if you are breastfeeding, your milk is ALWAYS on. So you're up releasing the milk regardless - so no sleep! I thought you could go longer at night when baby is sleeping for some reason. As long as your nursing, you are not getting restful nights of sleep. Wow. Not only is breastfeeding hard in MANY other ways, but this no sleep [even if baby is sleeping] is an added "bonus". I hate BF man, lol.