No one can give you a complete answer right now, seeing as how only embargoed reviewers have Ampere GPUs at the moment. What I can do is give you an educated guess based on my experience with hardware similar to yours and extrapolating based on that.
I'm assuming you're playing at 4K, as do I. In our situation, our CPU is more than up to the task. It seems to me that increases in GPU power will allow for higher quality settings and/or higher frame rates. This will increase our CPU needs somewhat, but probably not so much as to merit our CPUs unable to keep up.
Your CPU needs will depend more on the games you want to play. I play Microsoft Flight Simulator, and it is very hard on my overclocked i7-9700k, overwhelming it at times and introducing a bunch of stutter until it can catch up. This would be magnified that much more for me were I to upgrade my RTX 2080 to a RTX 3090.
Bottom line, I'm guessing that if you're not having any CPU-related problems now, you'll probably be fine even with a RTX 3090, although it'll really depend on how much the game's CPU utilization scales with the increased GPU power. You'll probably have to upgrade in a year or two either way though as games increasingly become optimized to run on more than 8 threads (I regret not buying a 9900k for this reason).