Galaxy S III display on Galaxy S III Neo

Hi I need an answer, can I buy Galaxy S III display+touch+glass+frame and use it on a Galaxy S III Neo?

I read that the frame is different, but if I buy that item and remove the frame (if possible) and install it on the Neo (I own the Neo frame), will it work?

Because the price is around €50 for the galaxy s3 display and €90 for the Neo one.

Thank you all :D