Nervous/uncomfortable looking into guy's eyes for a long time?

I'm really shy and although I like the guy that I've been dating for a month, I get uncomfortable looking into his eyes when we're not talking. I think maybe it's more that I am uncomfortable with him looking at me so closely? I dunno...anyone have experience with this? Will this probably go away as I get to know him better?
Nervous/uncomfortable looking into guy's eyes for a long time?
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