my Sony vaio Pro 13 actually has a core i7.
The one I bought was this one from Ebay and from this seller 'nyciti2', for future ref. the ad reads "New ORIG CPU Cooling Fan for Sony Vaio Pro13 SVP132A1CL SVP132190X SVP13213CXB". My model is a SVP132A2CM and it works fine....
Remember you don't "have to" re-thermal paste the processor etc under the copper heat dissipating rods but you can if you want to, if you suspect that Sony have gone 'cheap' on the paste used. To replace the fan you don't have to remove the copper rods because at the end they have a 'holder' where you unscrew the oldfan and screw in the new fan. Take a photo of the two connectors to the fan if you are unsure which way up they should go. I can't remember if the fan was put on with some sticky glue to the main copper rods or to the metal vent grill at the side of your laptop (you won't have to do this probagbly) but that comes off easily if you have to do it. (I even replaced the copper rods once but that was uncessarty in hidsight).