the 3GB GTX 780Ti is fine, there will never be a bottleneck from it's Vram, ever. I would be worried about the core, you do have 2880 Cuda cores, which is heaps! Though before over 3GB Vram is needed, the core will be suffering first, no need to worry!
If you are still worried check this out; GTX 770 2GB vs 4GB, though this is not your card, it shows if the Vram effects performance when over 2GB is used;
http://alienbabeltech.com/main/gtx-770-4gb-vs-2gb-tested/3/
No difference, even when you are getting low FPS in intense triple 1080p gameplay setups (which use more then 2GB Vram certainly), the 4GB version provides no benefit. In this case a 3GB card on a 384-bit memory interface will do no help with 6GB Vram on a 384-bit memory interface, though the memory bus is not really a factor, I listed it as the 770 uses 2GB 256-Bit, in case people are confused.
If you have any other questions, just ask and we'll gladly help.