Ultrasound Update

Had a great ultrasound of Tyler today! He is so cute, I'm very ready to hold him and meet him! He is still measuring 2 weeks big. His estimated weight is 7 pounds 4 oz at almost 36 weeks pregnant. My Dr. still says "the baby is huge!". I'm not dilated. Here is her recommendation- we're not sure what to do. The house is divided right now. I'm definitely one to follow a doctor's recommendations!!

She recommends that I have an amniocentisis next Thursday to see if his lungs are mature. She said, if they are mature I would be induced the next day. If they were not mature we would wait for nature to take it's course, not inducing before 39 weeks. She said the baby will only get bigger, and the complications of an amnio now aren't a big deal because it will be fine to go ahead and deliver if a complication arises (ie: fetal distress, go into labor, or water breaks). I also have plenty of amniotic fluid. The solution to all of the above complications is to deliver the baby and he would be 37 weeks. I point blank asked "Is this what you recommend?" and she said yes. She is a very good OB. She is looking at the whole picture- the baby's safety, my safety, etc. I think she is afraid he'll get so big that it will be difficult for me to deliver him. What should we do???