I don't know what you mean by 'dying' but if it's a mater of noise, maybe you don't have to replace it.
I had a very loud fan once in my previous notebook. it was not a Mac, but it does not matter in this case.
It was an Acer, and gave me a bit of trouble to get in and get the cooler out, but I have managed to do it without damaging anything.
Since it was next to impossible to get a replacement part, especially not in a very short time frame, and I couldn't afford to get the machine laying idle (I have work to do!), I opened the cooler, dusted it blew it and got it as clean as I could.
opening the cooler is a piece of cake, compared to opening the whole notbook. 3 or 4 screws and you are done.
Gently pull the fan out of the motor core, clean the blades, remove all the dust you can, and get yourself a very fine motor lubricant oil, those that are applicable by spray.
After I cleaned and sprayed it, it became as silent as in the first day I ran it, it had to put the ear right on the air outlet to barely hear anything.
And it was a rather beefy machine, an Acer 8210 (which comes with a dedicated Radeon x1600 gpu, so it has to rather hot chips in there).
Of course, after I did it, I kept a good eye on both rotational speed and CPU temperature, to see if it was working properly (luckily it was).
So, instead of assuming your cooler is 'defective' , just lubricate it a bit. It is possible that its only 'defect' was having too little lubricant applied, which ended up being absorbed by dust particles over time.
Good luck!