That, along with taking punches to the stomach (We weren't very strong yet, so no worries about us actually injuring each other), just to get "used to getting hit", among other things... these kinds of training helps remove the mental blocks when you actually start to spar.
I'd say that eye-contact is just one of those things you need to train for. I know I did, it helped me a lot inside of a sparring match to help me focus on the opponent rather than feeling awkward (they're looking at me kinda thing).
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If you haven't had martial arts practice, then you could just practice eye-contact with your friends instead.