  A plurisubharmonic weight is log canonical if it is at the critical point of
turning non-integrable. Given a log canonical plurisubharmonic weight, we show
that locally there always exists a log canonical `holomorphic' weight having
the same non-integrable locus. The proof uses the theory of quasimonomial
valuations developed by Jonsson-Musta\c{t}\v{a} and Xu, as well as the minimal
model program over complex analytic spaces due to Fujino and Lyu-Murayama. As a
consequence, we obtain that the non-integrable locus is seminormal.
