We present an ab initio calculation of the screened self-energy correction for 1s² 2p_3/2 and 1s² 2s states of Li-like ions with nuclear charge numbers in the range Z= 12-100. The evaluation is carried out to all orders in the nuclear-strength parameter Zα. This investigation concludes our calculations of all two-electron QED corrections for the 2p _3/2-2s transition energy in Li-like ions and thus considerably improves theoretical predictions for this transition for high-Z ions.