Dose bottlenecking cause any bad side effects?

spartengamer

Honorable
Aug 5, 2013
22
0
10,510
My current PC is:
Evga GTX 660
AMD Fx 6100
Gigabyte GA-970A-DS3

My planed PC:
Asus GTX 780 DirectCU 2
Intel I7 4770K
Asus Z87 Sabertooth

But i wont be able to upgrade in one go as i cant afford it. So if i just upgraded my graphics card would the bottleneck from the CPU cause any problems, apart from the obvious lower FPS? Any help is appreciated