Abstract submitted to the XXXth International Conference on High Energy Physics July 27 - August 2, 2000, Osaka, Japan _________________________________________________________________________ The Q^2 Dependence of dijet cross sections in gamma p Interactions at HERA ZEUS Collaboration Abstract The dependence of the photon structure on the photon virtuality, Q^2, is studied in the reaction e^+p -> e^+ jet jet X at photon-proton centre-of-mass energies 134 < W < 223 GeV. Events with two jets with transverse energy E_T^{jet} > 5.5 GeV were selected in the Q^2 ranges ~ 0~GeV^2, 0.1-0.55 GeV^2, and 1.5-4.5 GeV^2. The dijet cross section as a function of the fractional momentum of the photon participating in the hard process, x_gamma^obs, has been compared to NLO pQCD and leading-order Monte Carlo programs; none gives a good description of the data.