It all depends on age of SS and if DH parents him. If DH is the kind of parent who cooks, cleans, bathes the kid, puts him to bed, disciplines, sets boundaries, can say no to skid,  then yes but if typically those are your duties while DH slacks off then F*ck no! You’re not going to be caring for SS while you’re In post partum just so that DH can see his other kid. And DH isn’t about to change his behavior overnight. Post partum is quiet time for healing and bonding with your new baby. You take as long as you need.

2 days after I brought my 1st home we were only supposed to have SD for the weekend. BM insisted we take her for 5 days. H did was BM requested. That was a rough week I didn’t really get to enjoy much. The weekend after was BMs weekend with SD which I was looking forward too that weekend to myself. BM called H demanding he take her that weekend as well because she wanted to go out with her friends. H was going to do as told by BM but I told him I wanted the weekend alone and besides it was BMs weekend. Caused a huge fight with BM calling me a horrible person for dictating when he could see his daughter. That was fun. 

As far as OP It really does depend on when you have the baby if your husband always sees his son once a month you might have to bite it on this one  I actually don’t think I’m the only one that was bombarded with their step child shortly after they brought the baby home my experience was horrific but others maybe not so bad.  People tend to care more about how the step child is adjusting to the new family not so much about the fact that you just had a baby that’s the sad truth.  i feel that a new mother deserves at least a week of privacy but being a stepparent sometimes you just don’t get that You might get lucky and have the baby right after a visit so you don’t have to worry about it for a few weeks

I’ve said this before on this forum and will say it again here...even in intact families it’s incredibly common for older siblings to get “pushed aside” for a while so the parents can get used to and bond with the new baby.

in my family, grandma 1 cape for a week and grandma 2 came for the second week...and we pretty much knew that we could hold the baby a bit but that we weren’t to ask our parents for anything...and we were their own flesh and blood! The grandmas were there to take care of us so mom and dad could focus on the baby.

i can’t imagine pushing out a kid for the very first time and then immediately being expected to accommodate a kid who’s not even mine. That seems cruel. 

I do think a lot depends on your situation...age of skid, how long his typical visits are, etc. But if I were you I wouldn’t be afraid to put my needs and desires out there about this. There are ways for your DH to see his son that don’t involve a young, needy kid in your home immediately after you give birth.

You should be allowed as much time alone with your new baby as YOU want- who gives a sh*t about his brat.

If he wants to see his kid he can damn well go OUT and see the child