Some women experience small amounts of nipple discharge during pregnancy. This is called “colostrum” and it?s completely normal, although not all women have this occur during pregnancy. Some women don?t experience any leaking, while others may be able to squeeze a few drops out. Others may even leak enough colostrum to soak their bra. This typically won?t be a pregnancy symptom until the second (or even the third) trimester, if at all. If you don?t produce any colostrum during your pregnancy, that doesn?t mean you?ll have trouble producing enough milk for your nursing baby after he or she is born.