What's eye contact for, anyway? I can read body language reasonably well, but I always feel like people are expecting me to do something with my eyes and I can never tell what, exactly, I'm supposed to do with them.
If you don't like their eyes, focus on the bridge of their nose, they won't be able to tell the difference.
For neurotypicals, it creates sensations of companionship and trust, until it goes on too long and then it becomes creepy and uncomfortable for them.
I got used to it over time, but sometimes it nags at me.