The scattering of two off-shell photons is an infrared-safe process in
QCD. For photon virtualities Q in the range of a few GeV, accessible
at the CERN e(+)e(-) collider LEP II, power-behaved contributions in (
Lambda(QCD)/Q)(n) to the total cross section may become non-negligible
. Based on a dispersion relation for the running coupling, we discuss
these contributions and calculate the coefficients of the leading powe
r correction for transversely polarized and longitudinally polarized v
irtual photons.