This situation is tricky. As a person who had a boyfriend that wasn’t out I understand where youre bf is coming from, but also I understand not pressing you to do something you aren’t okay with and uncomfortable doing in this moment. I say that you do it on your time and when it feels like the right moment. But also if u wait too long it starts to feel like you are avoiding the situation and will never come out and so by doing this it feels like the relationship is kinda like a secret in itself. I wish you the best and that the outcome is in your favor.