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.