# siunitx nested “per” symbols

I am attempting to type the following using siunitx:

K/(W/m)

which is how this quantity is commonly written in my field. I was hoping \si{\kelvin\per\watt\per\meter} would do it, but that doesn't seem to work.

Is there a way to do this?

\documentclass{article}
$\si[per-mode=symbol]{\kelvin\per(\watt\per\meter)}$