The effect of oxygen doping on the critical depining current density, J_c1, was measured in a series of high quality c-axis oriented Bi₂Sr₂CaCu₂O_8+δ thin films. For each doping level we measured the temperature dependence of J_c1. We find that all samples have the same temperature dependence but the critical current at zero temperature,J_c1(0), has a non trivial doping dependence with a maximum at a unique doping level in the overdope side of the superconducting dome.