Hi Torben,
DO NOT LISTEN TO MOST OF THESES GUYS!!! DO NOT USE GLUE, SUPER GLUE OR PERMANENT ADHESIVE OR PERMANENT ADHESIVE TAPE!!!
My advice to you is to fix it with an adhesive...
Start to use a heat gun and a putty knife, Pro Tech Tool kit has a spudger set which can help... A proper double sided adhesive tape such as 3M. If you glue it just tell me how are you gone deal with another problem, such as broken LCD, glass...
There are quite a lot of videos about that issue on you tube...
Good luck,
Max