You're are correct, the laptop is 8744-C9U, I edited the first post.
Thanks for your answer.

Hello, I have a T60p 15.4" laptop (8744-C9U) and I need to replace the fan soon. I changed the heatsink once with an original one which IIRC it had 3 pipes, instead 2 like the first one. Now, I want change only the fan or try to use a T61p heatsink. 1) If I only change the fan can I use a T500 fan i...