I'm registered at one maternity hospital according to my health insura…

I'm registered at one maternity hospital according to my health insurance, but I decided to give birth in another (we signed an agreement that we will give birth in their maternity hospital). The question is: if, for example, I need hospitalization, if it turns out that I don't give birth on time, will they transfer me to the maternity hospital that is on the agreement or to the one to which my health insurance belongs? Has anyone encountered this and knows?