Sweep at 39+4 - 1.5CM dilated

Noleen • Married summer 2015
I had my sweep today at 39+4 and they said I was 1.5cm. He said this was good as it's my first baby and labour has started on its own. I'm keen to know if anyone has been in a similar situation and if they had their baby after the sweep? I am booked in for an induction on Friday at 40+1 but I would be keen to go on my own :)
Should have mentioned I'm being induced due to a past history of high blood pressure and having suffered multiple losses.