
A third-party tool, OptiScaler, has beaten AMD to the punch in using FSR 4 upscaling with Vulkan-based games. According to a changelog on the tool's Discord server, the latest test build, v0.9.0-pre10, has "added Vulkan w/Dx12 support – FSR4 VK w/Dx12, FSR 2.1 VK w/Dx12" (via Reddit user eduhfx).
OptiScaler lets you expand the number of upscaling and similar features that are available to hardware, which aren't officially natively supported in many games. Such that, for instance, you can force FSR 4 in games that say they don't support it for your hardware. Installing it involves pasting files into your game installation folders and sometimes modifying batch scripts.