Is it okay to ask a guy for exclusive FWB?

I not being possessive or anything at all, and definitely not looking for love in this guy, but I’m just comfortable with the fact that he would just be sleeping with me. I’m not looking for a relationship right now either, but if I’m sleeping with someone, I’d rather it be just one person. It’s not about controlling you I just know that’s the dynamic I’d enjoy and feel comfortable in.
I also made it clear that he can talk to other women and if he does wanna fuck someone else, he just let me know, and then I’ll find my way out. He doesn’t have to be tied down to me.

Now my question is honestly is that weird or too much to ask too soon because we’ve been on date.