  In a recently proposed renormalizable model of neutrino mixing using the
non-Abelian discrete symmetry T_7 in the context of a supersymmetric extension
of the Standard Model with gauged U(1)_{B-L}, a correlation was obtained
between \theta_{13} and \theta_{23} in the case where all parameters are real.
Here we consider all parameters to be complex, thus allowing for one Dirac CP
phase \delta_{CP} and two Majorana CP phases \alpha_{1,2}. We find a slight
modification to this correlation as a function of \delta_{CP}. For a given set
of input values of \Delta m^2_{21}, \Delta m^2_{32}, \theta_{12}, and
\theta_{13}, we obtain \sin^2 2 \theta_{23} and m_{ee} (the effective Majorana
neutrino mass in neutrinoless double beta decay) as functions of \tan
\delta_{CP}. We find that the structure of this model always yields small |\tan
\delta_{CP}|.
