Question on swapping blu-ray drive on PS3 FAT

ok my problem is that my blu-ray drive making buzzing sound and making games loading slow and glitchy since October. most time it the game start to freeze and i had the lens replace 10 month ago.

i thinking of replacing the blu-ray drive and my ps3 model is CECHL03, but im sure if this right blu-ray drive model to fit on my ps3 CECHL03 http://www.amazon.co.uk/New-KES-410A-KEM...

but i want to make sure if this blu ray will work on my ps3 model CECHL03

(note: i know the daughterboard which came with ps3 need to be move from old blu-ray drive from new blu-ray drive)