Tesselation, Compute Shader 5 and more would be lost. That is the meat of DX11, so no DX10 cards won't run DX11, not even in "compatibility" mode.
Unfortunately you are wrong and toaster is right, look it up. The 4890 does run DX11 but loses some of the features. It's also faster than the 5770 whether you oc or not as both are clockable.