Thinking he's gonna come late

Ju
I'm 39+3 weeks and as of last week I was 2 cm and 70% effaced (I was 1 cm the week before). I'm due the 27th and I don't think he'll be coming before then and it's kinda depressing me.. I mean I could use the extra time to get my room done but I'm just scared I'll need to be induced..