Pressure sensitivity (up to 1 Gpa) of the electrical resistivity and of the ac susceptibility was measured for low electron doping levels of Ca_1-xY_xMnO₃ (CYMO) and of Ca_1-xY_xMnO₃ (CSMO) ceramic samples (0.05 < x < 0.15). A very low pressure dependence of the Curie temperature (T_c) was observed for both systems (~ 6 K Gpa^-1), when compared with the hole-doped manganites of the same T_c (20 K Gpa^-1). Our results can be interpreted within a modified Double Exchange scenario, where pressure alters the reduction of the bandwidth produced by the electron-phonon interaction associated with Fröhlich polarons in the weak-coupling regime.