T420 fan in a T410?

Hello everyone!

I have a T410 which occasionally gives me a fan error on boot, which can be fixed temporarily by hitting it in the fan area, but it also stops working during operation, and will do one of two things: 1) Just shut off or 2) Stay on until it shuts off from the temperature limit (105 degrees C).

Now I'm wondering if I can use the fan from my dead from water damage T420 to fix my T410.

Any input is appreciated!