envision has been a lifesaver for me with vr - i managed to get everything working pretty quickly thanks to it
you can also check out lvra (linux vr adventures) for some help and guides

This is what you're looking for: https://github.com/alvr-org/alvr

VR is one the aspects of Linux gaming that is still weak unfortunately. The Quest line of headsets for example just don't work. On Quest 2 and Quest 3 you may have some success using ALVR, which is a remote streaming solution over wifi.

I’m doing all of my PC gaming on Linux for years now. Except for VR. It’s unfortunately not running well at all for me. I’m running an Nvidia GPU with a Valve Index and whenever I was able to even get a picture on the HMD in the first place, the latency from movement to screen was about a second or so. Which is an incredibly efficient way to feel incredibly sick.

I’m not sure about your setup, maybe it’s better supported in some way, but, from my experience, I’d unfortunately recommend keeping a Windows partition for VR and saving yourself the (quite literal) headache.

Give alvr a try, but you're probably best off just using windows for VR.

My experience with HTC vive has been best when using gnome under Xorg.

have you already tried asking in the steam forums about it?