We calculate eigenvector statistics in an ensemble of non-Hermitian matrice
s describing open quantum systems [F. Haake et al., Z. Phys. B 88, 359 (199
2)] in the limit of large matrix size. We show that ensemble-averaged eigen
vector correlations corresponding to eigenvalues in the center of the suppo
rt of the density of states in the complex plane are described by an expres
sion recently derived for Ginibre's ensemble of random non-Hermitian matric
es.