He hasn't asked me out on a date yet?

I'm not that experienced in dating so I just wanted a second opinion. So I drunkingly made out with this guy during my friend's house warming party. He got my number & we've been talking non stop ever since. He calls me babe/baby/sweetheart & asks how my day went, questions about me in general, etc. but he hasn't asked me out on a date. It's been about a week. Is this something I should be stressing about? Or should I give him some time?
He hasn't asked me out on a date yet?
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