My 4th baby was very low and right into my pelvis - full engaged at around 37 weeks. Generally, especially around baby no.4 this doesn't happen. Usually they don't engae until labour. We were thinking the same thing - that I would go early. Hmm, yeah 1 day early

I'd say yup your baby is engaged by the ammount of pressure your feeling down there.
As Fiona said, anytime from next week 37 weeks is full term, fingers crossed bub doesn't make you wait too much longer then