Going in tmrw to start induction 😳🙌🏼

I’m 36w6d and I’m going in tmrw evening to begin my induction process starting with cervidil. They are going to check me first and if I’m dilated enough I can go back home and come in Wednesday morning. I’m really really hoping I can sleep at home tmrw night lol. I was 1 cm about a week ago and I checked myself (which I know I’m not a professional) & I’m almost 2 but still not quite. So probably 1.5 cm. How many cm do most hospitals want you to be prior to pitocin ?? I should have asked my dr. Idk why I didn’t 🤦🏼‍♀️