We study the production of a J/psi meson in association with one or two jet
s in gamma gamma collisions concentrating on the direct-photon contribution
. which is expected to be dominant for large J/psi -meson transverse moment
um and/or large dijet invariant mass. We work at leading order in the facto
rization formalism of nonrelativistic QCD and include all relevant colour-o
ctet processes. We present distributions in J/psi -meson transverse momentu
m 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 th
e e(+)e(-) linear collider, we assume the beamstrahlung spectrum appropriat
e for DESY TESLA. (C) 2001 Elsevier Science B.V. All rights reserved.