When a guy says he feels a connection with you, what does he mean?

A guy and I have been having a lot of locked/intense eye contact, I catch him looking at me a lot, then he quickly looks away or down, he leans in close and seems to make an effort to be close to me. At drinks with friends he said he feels a connection, but what’s that really mean?

When a guy says he feels a connection with you, what does he mean?
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