Will the 5870 "mid 2010" upgrade work on a mid 2012 MacPro?

I purchased a 12core 2012 macpro with a 5770 graphics card. Now I want to upgrade to a 5870 card.. The 5870 on Apple.com and OWC show it as an "mid 2012 upgrade". I want to make sure that the card will still work for the 2012 model. I don't see why not, but I want to make sure. Any help would be great. Thanks in advance