Baby time soon? 36+4 FTM

So the other day I’ve been noticing my BH. On my way to the hospital for my 36wk appointment I tripped and fell but not on my tummy so I had to get monitored. All in all, I was having contractions and they gave me a shot and they ended up coming back after an hour so I was admitted over night. Contractions weren’t painful just kinda uncomfortable. But baby wise fine, etc. my timing on contractions were just keeping me there overnight. I’m 2cm and thinning out. Do you think baby’s going to come in the next two weeks? I’m hoping so, so I wouldn’t have to get induced. 😅