is this normal for eight weeks of dating?

I met someone online and we've been dating for almost two months. Recently, he told me that he considered us exclusive and dating only each other, but that he didn't think of us as boyfriend/girlfriend yet. He said he likes to take things slow, and it's hard to say where things will be with us in six months, etc, so he is just trying to assess our compatibility before calling me his girlfriend.

exclusivity conversation we had before we had sex

being exclusive and not dating others yet not being boyfriend/girlfriend yet

Does that change anything as to the meaning?
Basically, when we're together, I have zero doubts about his interest in me. It's just in between the dates that I start to waver and wonder where this is going. And then think that, at two months in, it's too early to really know.

I'm a little confused about my relationship status and all of that. Hoping that I can find some answers here. I met someone online and we've been dating for almost two months. Recently, he told me that he considered us exclusive and dating only each other, but that he didn't think of us as boyfriend/girlfriend yet. He said he's only had one person in his life he considered a girlfriend, and that was his now ex-wife. He said he likes to take things slow, and it's hard to say where things will be with us in six months, etc, so he is just trying to assess our compatibility before calling me his girlfriend. He said he wants to be able to do things with his friends and not feel guilty for not inviting me at this point. He said if we were bf/gf, then he'd feel obligated to include me. I have met some of his friends, but not everyone.

I told him that I thought we already were bf/gf based on the exclusivity conversation we had before we had sex the first time, but that I could accept this for now, but that within a month or two, I'd expect more resolution or else I wouldn't be able to continue dating him.

As for our relationship, it's very enjoyable. We see each other usually once during the week, and once on weekends, which works with my schedule (I have a child, he doesn't). I have pulled away a bit since he told me the non-girlfriend thing, to be honest, no longer initiating calls or texts or emails, and he's pursued me and asked me out more, showed more interest in me.

However, we're not 25 years old. He's 36 and I'm a few years older than him. So we're not kids. If this isn't going to work, I don't want to wait around forever. But he is worth going to some trouble for. He's a wonderful guy and the intimate part of our life is absolutely beyond belief amazing.

I'm just trying to figure out if this is normal - being exclusive and not dating others yet not being boyfriend/girlfriend yet. I feel like my relationship with him is exactly like the one with my last boyfriend, yet that guy used the bf/gf terminology and this guy doesn't. I almost feel like this guy takes those words more seriously, as in something akin to being so serious that engagement is the next logical step, before he says those words, given that only his ex-wife has been given the girlfriend title in his life.

As for his ex, that isn't the issue here. He's not hung up on her. But he is only a year divorced, so maybe that newness is part of the problem. I'm not sure. This year, the year of his divorce, is the first year he's ever casually dated and slept with women. He was married most of the rest of his life and he was a virgin until marriage.

(and Wiseman is too spot on correct too often.)