Can I install a pci-e 4x nic in my gigabyte GA-Z77X-UD4H

I am using my 16X and my 8x will drop my 16X to 8X speeds. is there any chance I can use the 4X video port for the 4X Nic. hear the some video ports will only except video cards. not sure if this apples to this board.
 
good question. I have 3 Virtual machines I need a nic for each one I am sick of fighting Virtual nic's. This card has 2 nic ports for a total of four counting the one I have in the pci port.