Can your baby actually get "drunk" if there is alcohol in your breast milk ?

Alcohol enters milk: Babies can experience the effects of alcohol and other substances that pass through the milk. Some substances get through in very small amounts, while others are concentrated in milk--giving the baby a higher dose per pound of body weight then the mom took. It is not recommended to consume much alcohol when breast-feeding. Some research suggests that even small amounts may have long-term effect.