Will a 7970 fit inside a fractal design define R4?

My wife and i decided the thor v2 might be to big since the only place i could put it would be on the floor. Since we have some little ones that could be a bad idea. But my concern with the fractal is im not sure if a 7970 will fit inside.

It seems like it will, i have a fractal design r4 with a 680 but i have the hardrive thing that holds 5 hard drives removed and i just use the bottom 3.

ok awesome