We have calculated the electric dipole strength distributions in the unstableneutron rich oxygen isotopes $^{18,20,22}$O, in a model which include up tofour quasi-particle-type configurations. The model is the extension, to includethe effect of the pairing correlations, of a previous model very successfularound closed shell nuclei, and it is based on the quasi-particle-phononcoupling. Low-lying dipole strength is found, which exhausts between 5 and 10%of the Thomas-Reiche-Kuhn (TRK) energy-weighted-sum-rule (EWSR) below 15 MeVexcitation energy, in rather good agreement with recent experimental data. Therole of the phonon coupling is shown to be crucial in order to obtain thisresult.