Will upgrading a CPU help raise FPS even when there isn't a bottleneck?

Apr 23, 2018
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Hey guys, I've just recently built my first PC a few months ago, and I'm already planning out a upgrade path for the AM4 platform. My question is: if I upgrade my CPU even though it isn't a bottleneck, nor is my gpu, will I get better performance? I'd assume so, but I'd still like to ask around before I go out buying a new CPU.

Thanks!