Quoted from PinMonk:Spec-wise you should be fine, but the connector on that fan is too thick/large to plug into the receptacle in the power supply (if it is the same as in the picture), so you will have to cut and splice in a new one or crimp in new pins and a smaller compatible connector.
Another path you can take if you have some resistors and shrink wrap on hand is to put a resistor on the red lead of the stock fan to reduce the voltage, which will slow the revolutions of the fan blade and should reduce the noise. It's a hassle to figure out the ideal resistor to use to get the best result, but the stock fan has about twice the CFM of the fan in the plug and play kit I sell (and the one recommended in the OP), so you have a lot of overhead to work with if you want to play around and spend the least amount of money possible (i.e. you have more spare time than money). At some point the fan will not run if the voltage is too low, so there's a fine line to walk. If you go this route, please share your result!
Years ago, the PC builders were making kits to reduce their 12V fans to 7v to reduce noise. FRYS here in California used to sell the cable. It was a simple 1/2Watt resistor. If I remember my math, "R=E/I" where the voltage you want to drop is 5volts, and the fan spec says it consumes .13Amps. So doing that math yields 38ohms, which is very close to a stock 39ohm part. Try putting a 39ohm, 1/2watt carbon resistor in the red power line to the existing cable....