Try having a look at this and see if you can get your hands on some maybe (?) :
Amazon.com: YUYIKES? 2mm 3M Adhesive Sticker Tape LCD Screen/ Digitizer Sticker For HTC 4G Evo Supersonic, Incredible, HD2 T8585, Desire, Hero, Legend, Diamond 2: Cell Phones & Accessories
Check on the net about application and feedback on the adhesive itself, have a pass by ifixit.com and also (although I think you should be ok) check the thickness, as this one is supposed to be 2mm thick and I really do not know if this is standard size. You can also check on the 3M specs page. My guess is that any phone repair shop should have one and maybe they can give or even sell a few cm to you.
If you are willing to open up your phone that is of course.
Good luck man and let us know how it goes!
PS: Amazon, aliexpress etc should have it, but really ask around, any tech shop should be able to spare some ;).