3D texture MIP depth face clipping when using a perspective camera

I found that the issue was caused by using a PerspectiveCamera instead of a OrthographicCamera. If I switch the camera to OrthographicCamera, everything is rendered ok.

However, I prefer to use a perspective camera - can anyone point me to a sample/documentation how to display a 3D mip texture on a perspective camera? I suspect that the vertex shader need to be updated.

thanks