How can I use a baked AO texture that doesn't rotate along the object?

I’m trying to make a set of eyeballs that has baked AO texture assigned on them so they
can have really dark shadow casted by eyelids.
and these eyeballs are going to be rigged and animated.
when I rotate the eyeball, of course the AO texture rotates with it.
Is there a way I can kinda lock the rotation of this AO texture?