Hello. I am not a lady...... but hopefully can offer some reasonable advice.
First off. Good luck with the birth. Soon you'll have a lovely little person who will be the love of your life.
Something that will be worth it's weight in gold is if you can continue to remain on amicable-ish terms with the baby's dad. It is no easy task, but the alternative makes life harder ( and quite possibly more expensive ) for everybody ) . A large part of it is in knowing how to deal with a difficult XP, Olympian levels of tongue biting and knowing which battles are worth fighting ( i.e. pick your fights ) .
I can almost guarantee one thing. If you say to your XP ' you can only see dc 2 hours a week' , his perception rightly or wrongly, will likely be that you are blocking his access to his dc.
If I said to you directly after giving birth, 'Ms Pink Peanuts, I will allow you to see your child for two hours a week hence forth ' ... I would expect a massive amount of protest and anger from you. He may not have stepped up to the mark during the pregnancy, but he is still the child's father and will likely take that fact as a basis of his expectation even if his actions don't match the reality.
Of course he may be a knob who only wants to see his child two hours a week. But if you tell him it's two hours a week, as opposed to him asking for two hours a week the friction is likely to increase.
I know there are other considerations here, I'm simply trying to give you a heads up on what kind of response you're likely to provoke if you offer a father two hours a week with his child. If he's irrational with a temper it's likely to be even more volatile, and more likely to go the legal route.
It might be a good idea to ask him at the outset how much time he expects / wants with the child now and in the future. This question may be better prefaced with some sort of conversation about what is best for a small baby. Routine, feeding, sleeping, clothing, cleaning, security etc etc. And how access can increase as the child gets older.
Him seeing dc 'as and when he feels' isn't reasonable. It's not reasonable now and it still won't be reasonable in 10 years time. It's unfair on you and the child. Somehow you have to convince him of that and find out what kind of schedule he can work out. If he's willing to be a decent father he needs to start taking things on board such as the importance of routine, paying CM and being reliable and supportive.
I suggest you put it to him that there is a level of contact now ( or in a few weeks ) that is dictated by the baby's needs and safety, but as the baby gets older the level and duration of contact will increase until ( assuming he's a step up sort of guy ) he can have the dc for overnights.
My personal opinion ( obviously not knowing you or the XP or all the circumstance ) is that two hours a week is a fairly pathetic amount of time to offer one parent.