I would be very upset if my boyfriend did that to me, I get how you feel. Since you're going to be due soon he should be with you 24/7. You should just be straight up and tell him how you feel.
It would bother me too. I told my husband he shouldn't drink for the last three weeks of my pregnancy in case I went into labor (which he did anyway), considering what you've been doing for the past 9 months I don't think that's too much to ask.
I'd sit down with him and just tell him how you feel, honestly. I would be very upset with my husband if he did that. These last few days might be hard and you might even go over your due date so do bring that up so he doesn't get upset if baby doesn't come on due date. But this is your last few days together without a baby. You need comfort. At least I know I would.