  We investigate the critical dynamics of the time-dependent Landau-Ginzburg
model with non conserved n-component order parameter (Model A) in the presence
of long-range correlated quenched impurities. We use a special kind of
long-range correlations, previously introduced by Weinrib and Halperin. Using a
double expansion in \epsilon and \delta we calculate the critical exponent z up
to second order on the small parameters. We show that the quenched impurities
of this kind affect the critical dynamics already in first order of \epsilon
and \delta, leading to a relevant correction for the mean field value of the
exponent z
