Baby in room?

Will my hospital allow my baby to stay in the room during my tubal ligation? I will have a vaginal delivery and it’ll just be me as my husband has to stay home to watch our toddlers. I’m trying to figure out if I should bring my breast pump and pump for baby in case they do take her away while I’m in surgery/recovering? I won’t be on heavy meds as I’ll be breastfeeding and allergic to some of the heavier medications.