We first construct the effective chiral Lagrangians for the 1-+ exotic mesons.With the infrared regularization scheme,we derive the one-loop infrared singular chiral corrections to the π1(1600) mass explicitly.We investigate the variation of the different chiral corrections with the pion mass under two schemes.Hopefully,the explicit non-analytical chiral structures will be helpful for the chiral extrapolation of lattice data from the dynamical lattice QCD simulation of either the exotic light hybrid meson or the tetraquark state.