FTM. Questions about NICU

Shartay

So i am going to be induced on friday the 20th. That hits my 37 weeks mark. Im being induced because my babygirl isnt growing as much as she should. Right now she is weighing at 4 lbs 4oz. Since she is so small how long would you think she would be in the NICU? and while shes in there, say for a couple days, do i stay in the hospital as well? I have an appt tomorrow so ill be asking my doctor as well, but just want to see what you mommas know out there or if youve been through something similar to my case.