Rebound relationship with no sex?

Is there such a thing as a male using a female as a rebound without the sex? Is that still considered a "rebound"?

I met a guy 2 months after his prev long term relationship ended. We started hanging out and talking via phone/text/email. All very casual but as time went by he started showing all the signals of being "interested" (daily communication, body language, picking up the tab, invites to events or dinner, introducing me to his friends, etc). So I boldly told him that I had a crush on him one night we were out together and he said he was attracted to me but he wasn't ready for a relationship nor was he interested in FWB. I still speak to him daily and we've become close friends but the hanging out has decreased a lot. Neither of us have ever brought up the topic again, we never talk about other people, but he still shows interest and keeps me posted on his life, what he's up to, etc so I'm confused.

Was I just a rebound without the sex? This has never happened to me with any other guy I've dated. Can anyone shed some light?
Updates
+1 y
I agree staying friends with him is key right now...but if we continue this 'friendship', wouldn't he only see me as a friend after time? do guys get over attraction or crushes or once attracted, always attracted?
Rebound relationship with no sex?
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