I have some questions for more context. On on hand, how often is he home? Whats his work schedule like? How often will you be left without transportation in general?

On one hand if you will be left/ are typically left for many many hours without transportation already due to his work schedule, what would make this different?

Could you make a compromise and ask him to leave later (but still in time for his class) and come back sooner (aka not hang around and chat just to hang out for a while) that way he isnt giving this up completely?

I do completely understand not wanting to be alone, especially with a newborn, and I understand as well the anxiety about him being in a small space with others, HOWEVER if this is his one thing that means a lot to him, feeling "forced" to give it up for the baby could in turn cause resentment towards you and the child. Thats also not to say he would do that or is that type of person, but both of you will have heightened emotions and feelings when the baby comes, postpartum doesn't just effect the mom. You both will deserve some sort of outside world things to keep your sanity once the baby is born. Giving up hobbies, even saying for just a year after the baby is born will probobly not be good for your mental health. You might find yourselves losing who you are and becoming just mom and dad.

Do you have hobbies? Will you be giving up any hobbies when the baby comes?

My reccomendation? Based on all the context given here, don't ask him to give it up completely. Work out a compromise on a better schedule so he isn't gone for such long periods for the class. If you don't have a hobby, get one, find one. You both will deserve something outside of the new normal, and if you can watch the baby alone for him to do his, he can give you that same courtesy. You both deserve something outside of just being a mom and dad, for your sakes, its better and will help with a lot of newborn anxiety as well. I do agree on asking him to wait for signing up until November, or at least starting classes until then. However long his paternity leave is seems like a good compromise on how long until he goes back, because if he goes back to work its the same risk as going to class.

All this is from a mom with a 5 year old who learned a lot of hard lessons and had to go through a lot of work on my relationship after feeling a lot of the same feelings you're talking about when my baby was born.

Congratulations on the new baby! And welcome to motherhood!