My OBGYN said that after 34 weeks they don't stop labor. So he said the same thing to me, at this point if I go into labor they will just let it go. I've read that the baby is ready at 37 weeks but that between now and then there is still a good chance that everything will be ok. Obviously, if the baby is born before then they will probably need to keep them in the NICU because they aren't fully developed, but the odds of them surviving are high. I would talk with your doctor about the concerns because he/she would probably be able to better explain the risks.
I would object if I were you. The baby may be perfectly fine, but there is also a very real chance that it might not.
Your baby's lungs will not be fully developed until 38 weeks.
Your baby may need help breathing, which means that you probably won't be able to hold it or take it home straight away.
In the end it is of course, your choice. But why risk not being able to hold your baby?
I dont know every baby is diffrent, my cousin never makes it passed 35wks before she delivers, and all 4 kids she had r healthy and come home with her. Address ur concern with ur dr. Good luck