if you are 4cm I think they keep you. that's what they do at my hospital. my first son was also born early.. 34 weeks.. I am now 36 weeks with his little brother hoping to go soon. Since I am already 2-3cm..
My doctor doesn't think I will go to my due date. But I'm hoping to breastfeed. I'm hope she stays in a little longer but I'm not sure how many cm dilated that the doctor will keep you.
I was 35. she had some complications. and had to stay in special care for we hours but she is now doing good. And loves being cuddled skin to skin. and breastfeeding.