What brand is it? Some will some wont.
EDIT - OOPS! You said HIS, sorry buddy, let me look into that for you.
Cooler / Fan Replacement
We regret to inform you that we do not suggest users to replace or install the cooler/fan themselves, as it would damage the ASIC / graphic card and void the warranty. We could not supply the individual cooler/fan.
But that doesn't mean you can't put the stock cooler back on, just do it right and they might not notice.