Green’s Dictionary of Slang

immies n.

[SE immy, a highly rated marble, made to resemble a semi-precious stone, e.g. cornelian, agate]

(US) the eyes.

[US]S.J. Perelman Westward Ha! 18: You certainly ought to set Singapore aflame with those immies in your head.
[US]Graziano & Corsel Somebody Down Here Likes Me, Too 37: There’s a guy who could be junked up to where his immies turn into little beads.