Is this normal in a relationship?

Okay, first time I asked this question people completely misunderstood me... I'll rephrase a little.

My boyfriend and I have been together for almost nine months and we are very happy together. It's very clear that he is very invested in me and this relationship, and it's the same for me. Recently I've had a couple of dreams about him cheating on me, and it really bothers me because cheating, for me, is the worst thing somebody could do in a relationship and I know he would never do that. (I am aware that these dreams are not real, just whatever meaning behind them bothered me) He knows about these dreams because I told him (only with the intention of confiding in him), and just the other day he had a dream that he and I were "getting busy" and then all of a sudden I told him to stop and that we couldn't do this anymore, because he had a girlfriend and he was super confused because I'm his girlfriend, and it really disturbed him. Lately he's been checking in with me to see if I'm okay with him doing stuff like going for coffee with a girl, complimenting a girl or whatever else (without me ever asking him to, he just does it on his own). I've always trusted him with that stuff because I know how serious he is about us, and I still do, but I can't help but wonder why all of this is happening. Again, I am aware that me having dreams does not mean that my boyfriend is actually cheating on me. Have you ever experienced this in a relationship?