We investigated the time evolution of a distribution of random diffusing particles around an oscillating non-ideal trap. The problem has been addressed by numerically solving a mono-dimensional Fokker–Planck equation (FPE) for a confined distribution of particles in the presence of an oscillating potential well (trap) of finite depth. Accurate numerical solutions of the FPE have been obtained and expressed as a function of the trap oscillation amplitudes and frequencies. Results show a marked influence of the oscillations both on the capture kinetics and trap efficiency in equilibrium conditions. All the calculated properties exhibit a saturation behavior both at high and low frequencies.