Since no one else has answered, I'll take a crack at it.  You'll have to track down the CPU support list for the particular motherboard in your machine.  It's highly doubtful that chip is listed, since it's technically for a different socket.  On most enthusiast motherboards, the BIOS supports a wide range of chips and the manufacturers often even update to include cases like this.  Unfortunately, for a typical OEM prebuilt system, far less likely that the manufacturer would bother to insert support.  So it's going to be a crapshoot.  If the new chip is cheap enough, try it and see, but I wouldn't hold my breath.
As an alternative, there are a ton of much, much faster used systems on eBay or similar for really good prices.  Might consider a full upgrade instead of just a new chip.