GLSL has built-in fragment shader inputs, and one of them is gl_FragCoord. You can get the $x$ and $y$ value from this and use that as the lookup coordinate of the texture map in a sequence of two passes, but that could be a good or bad thing depending on the application (such as caching the result). This would both be rotation invariant while allowing you to scale and move the mesh.
Transform the mesh without rotation. Bind a texture to the fragment shader and write the interpolated UV coordinates to it.
Transform the mesh correctly this time. Bind the texture from the last pass and read from it this time. You preserved the old UV coordinates, and now you can use these to look up whatever texture you have before. Obviously, this works best with a mesh that's a sphere (such as an eye).
vec2 texCoords = gl_FragCoord.xy; // do some sort of scaling
vec2 oldTexCoords = texture(samplerOfUVTexture, texCoords); // sample UV
Now you have both the old UV coordinates and the new UV coordinates. You can use the new UV coordinates for you diffuse map and the old UV coordinates for the occlusion map.