Hmmm... parang marami yung may comment na they have oily lids. Baka naman the best solution is to use a make-up primer para mabawasan yung oilyness.
I've only tried 3 brands of primer: Bobbi Brown, Smashbox, and Mary Kay. Anyone will do so you can keep your favorite eyeliner brand. Also, it will really help keep you make-up fresh all day.