  We study the production of a J/psi meson in association with one or two jets
in gamma gamma collisions concentrating on the direct-photon contribution,
which is expected to be dominant for large J/psi-meson transverse momentum
and/or large dijet invariant mass. We work at leading order in the
factorization formalism of nonrelativistic QCD and include all relevant
colour-octet processes. We present distributions in J/psi-meson transverse
momentum and rapidity appropriate for CERN LEP2, a future e^+e^- linear
collider, and a possible gamma gamma collider mode of the latter. In the case
of the e^+e^- linear collider, we assume the beamstrahlung spectrum appropriate
for DESY TESLA.
