Using fixed joints to maintain position on elevator

I'm trying to find a solution for some elevator problems in a 3D platformer. The current physics system handles it relatively well, but in the cases of very fast moving platforms there is some geometry clipping and ejection (and in some cases passing straight through if the speed is high enough).

I've heard attaching a joint to the ground is a simple way of addressing this problem. However I've never seen joints used in such a way before and am unsure of how to set it up, and can't find any resources that apply joints in such a way.

I assume a fixed joint is what I'm looking for, which would be attached to the player at all times they're in a grounded state. Upon breaking the ground state, the joint would be broken, and reattached upon reattaining ground.

If this sounds like a feasible approach and you have any insight as to how to achieve this effect using joints, any input is greatly appreciated.