(1/2) I'm currently struggling with my emotions and relationship

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(1/2) I'm currently struggling with my emotions and relationship and don't know what to do.

I've been in a relationship for several years now. He's not my first bf and I'm not his first gf. We went through a lot of shit together and usually are a great team.

Recently my bf got a lot of personal problems. Problems with his work, his manager and the old problems with his family as usually. He started to show symptoms of depressionen, and they are getting bigger with each day. This has been going on for a few months now. I tried to reach out to him, offered him to go and get therapy (he doesn't want to) and are trying to be nice and understanding around him. It gets harder each day, because he's really cold and distant (which is normal with depression, I understand that). He even pushed me away if I'm trying to comfort him, doesn't want to hug and kiss me sometimes.

At this point I have to admit: our sex life is bad. It's because of me, I have kind of a low sex drive, but I'm always happy to give him a hand- or blowjob. I'm just not interested having sex more often than once a month.
Okay, so to help his mood we talked about it and he wished to have an open relationship. He would be able to have sex with other girls and we would still stay together. I said okay, let's try that. (But so far nothing happened. And yes I asked him to tell me when he would actually have sex with another girl).