I totally see where the OP is coming from - that would be frustrating!
Yet, I'm the non-working spouse in my marriage. Although I've been mainly a SAHM, I've worked 1/2 time for the last several years and on-call prior to that. This year I have NO job. We don't need the money to survive so it's not a huge thing, but it has REALLY affected me. I waste a lot of time sitting around spinning my wheels.
I'm going to try to explain how my brain is working. Other friends who are unemployed tell me they have felt similar things. Maybe this can help the OP understand and help her husband.
I'm managing to keep the house/kids going because those have been my normal responsibilities in the past. I'm also keeping up with my current volunteer work, but haven't committed to more. Here's why:
I made myself a list (I don't think dh doing it would have been appreciated, but I did try to put some stuff on it he would normally do) of "extras" that I now have time for. I am having trouble attacking that list. In my mind, if I accomplish the list I will have glaring emptiness looming before me. If I try to fill that time with taking on extra responsibilties, more volunteer work, etc. then it's like admitting to myself I'm not getting a job. I also am putting off dieting and self improvement type things because I think "I know I have time right now to concentrate on me but I won't be able to hack another failure right now." So I'm still wallowing and spinning my wheels a bit. I can see what I'm doing, but if it were worse, I might not - like OP's dh might not.
I did fix the computer the other day, something I would have definitely made dh do if I wasn't home so bored, so I'm getting there. Thankfully, since I'm the one who does the most home stuff and I'm still keeping up my normal home responsibilities it isn't affecting my husband that much, but I do feel like he's wondering what I'm doing with myself while he's busy working.
OP's spouse isn't used to doing the household stuff, so it is probably part of his list of "extras" that may be part of his admitting he isn't working. Does that make sense?
Obviously, OP can't continue to run herself ragged while her dh sleeps - that won't be good for either of them. A long, loving conversation is in order. OP - I'd start with baby steps, let him know that his extra mess is making things harder for you. Start with that. Then, you can start renegotiating how you are going to handle everything based during his short-term unemployment and see if he can help lighten your load while he has extra time. Make sure he knows you will re-negotiate everything when he starts back to work. Good luck!