A measurement has been made of the effects of flux depression upon the neutron-induced fission rate in 235U using self-detection techniques. A thin 235U fission detector was irradiated with neutrons from the LRL electron linear accelerator. The change in the fission counting rate was measured when absorber foils of 235U were inserted into the neutron beam. The detector consisted of a parallel-plate fission chamber containing eight 235U foils of thickness ½ mg/cm2 each. The incident neutron energies were measured by time-of-flight within the energy range from 0.46 eV to 2.1 keV and with a timing resolution of 27 nsec/m. The effect of this relatively poor resolution of the energy-averaged fission rate is eliminated by the self-detection technique. The enriched uranium absorber foils varied in thickness from 0.14 to 19 g/cm2, with a 235U content of 93%. In addition, 235U fission and total cross sections were measured with comparable resolution.