  Following the nonperturbative prescription for the jet quenching parameter
recently proposed by Liu, Rajagopal and Wiedemann, we compute the first
correction in the inverse `t Hooft coupling corresponding to string alpha'
corrections in the dual background. We also consider the introduction of a
chemical potential for the U(1)^3 gauged R-symmetry. While the former mildly
diminishes the jet quenching parameter -this suggesting a smooth interpolation
between the strong coupling and perturbative results-, the latter generically
increases its value. We comment on the extension of this setup to quarks of
finite mass.
