At my 18 week scan it was noted that my placenta was low lying and that I would need to have another scan at 32 weeks to check the position again. Well, I had that scan this morning and it is still borderline low

I'm 32 weeks today and the doc at the ultrasound suggested that there is still time for it to move a bit more and that unless I'm booked in to have a c-section for other reasons (I'm not), then I should have another scan at 37 weeks to see if it's moved up some more.

What are the chances of my placenta moving (or more specifically my uterus stretching) in the next 5 weeks? It's currently just under 2cm (~1.88cm) away from the internal OS.

Will I be allowed to go into labour naturally and see what happens?

At what point do they say no you must have a c-section? My placenta is not covering my cervix even partially but I guess with dilation in labour that could change.

Everything else is going well, almost textbook. I really want to avoid a
caesarean.