  We study contribution of radiative processes to $p_{\perp}$-broadening of
fast partons in an expanding quark-gluon plasma. It is shown that the radiative
correction to $\langle p_{\perp}^2\rangle$ for the QGP produced in
$AA$-collisions at RHIC and LHC may be negative, and comparable in absolute
value with the non-radiative contribution. We have found that the QGP expansion
enhances the radiative suppression of $p_\perp$-broadening as compared to the
static medium.
