Eye Socket
noun
Your eyeball cavity (hole) is where your eye is held. This is your eye socket.
This is a jukugo word that uses the on'yomi readings of the kanji. You should be able to read this on your own.
蒸しタオルで眼孔を覆うと気持ち良いですよ。
It feels so good when you cover your eye sockets with a steamed towel.