Do I give him space?

So basically the guy I’m seeing told me he has all sorts of feelings for me and doesn’t know how to handle them.
He said it’s on him to figure it out. He said it not me. Then we talked for a while. Next time we spoke he was very nice and said he would contact me yesterday which he didn’t.

I worry I might not hear from him again. I’m giving him space and keeping to myself.
Am I doing the right to thing?
Do I give him space?
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