For Nvidia users:

Already merged within minutes of the Vulkan 1.4 embargo lift is Vulkan 1.4 support within the open-source NVIDIA “NVK” driver. Faith Ekstrand with engaging in the Vulkan working group was able to provide this same-day support for Vulkan 1.4 within the open-source NVIDIA driver.

For AMD users:

There is also a pending merge request for Vulkan 1.4 support with the Radeon RADV driver. RADV driver is Vulkan 1.4 conformant on many AMD GPUs from GFX8 through GFX11.5 (RDNA3.5) hardware. That RADV Vulkan 1.4 support was spearheaded by Samuel Pitoiset of the Valve Linux graphics team. That RADV Vulkan 1.4 support should be merged shortly.