I would maybe wait it out and see if he contacts you to check you're both doing well, get to 30 weeks or so and then contact him.
You could always ask him to meet with you for a coffee or something and attempt to straighten some things out.
Given a bit of time he may decide he wants nothing to do with the situation and walks away, but at least you'll know where you stand IYSWIM.
Or if it's sunk in he may want to have a role, whatever size, in the upbringing of his child.
Goodness, given the opportunity he may even want to be present at the birth, but you won't know until you sit down with him.
Maybe make it clear you have no intentions on him and you aren't going to 'cause any trouble for him' if you'll please excuse the crassness of that phrase, but you wanted him to have an opportunity to be upfront & honest with you.
You could even say at this point that you do intend to tell your Dd of her parentage when the time is right.
He might be more than willing to acknowledge his child, go with you to the registry office, provide financial assistance etc, but just not be willing to tell his gf just yet. That's really his remit I wouldn't even ask whether he has done that. These things tend to out in the end one way or another don't they.
IME (I have 4 to the same Dh) they don't even begin to contemplate a baby arriving until the last couple of weeks of pg, stupid feckers!
Huge Congratulations on your very much loved and wanted Dd