Since the current-generation of consoles, PS5 and Xbox Series are using custom SoCs designed by AMD, it was expected that this trend will continue for the future consoles as well. According to a job listing on LinkedIn, The team behind Xbox and PlayStation SoC is working on a next-gen chip for which they need a verification engineer:
The team behind the chip powering XBOX™, PlayStation™ and the latest RDNA-family graphics chip is hiring for its Markham location in Canada for the next-generation chip development project!
We are currently looking for a System-on-Chip Verification Engineer who will be part of a team working on next generation of a complex SOC design. The successful candidate will play a key role in SOC verification performing the following duties for functional, power, and performance aspects with simulation and hardware emulation environment.
Now this confirms two things. One, that the next consoles, whether they are iterations of the current-gen PS5 and Xbox Series or entirely a new line, will feature AMD, RDNA based SoC. Other thing is that the next-gen consoles are already being worked on most probably both by Sony and Microsoft.
There have already been rumors about a new version of PS5 by Sony. Whether this would be a PS5 Pro or just a basic hardware change, remains to be seen.
According to a job listing AMD is already working on the next-gen SoC, most probably for the next-gen PlayStation and Xbox.