We study the Kondo effect in a quantum dot connected to leads by single-mode junctions at almost perfect conductance. Tn this new regime, the Kondo effect develops at a temperature T-K that is sufficiently high for experiments. Unlike in the conventional case of small-conductance junctions, G << e(2)/h, in the new regime the charge discreteness of the dot is completely lost, while its spin at T greater than or similar to T-K remains quantized at s = 1/2 (spin-charge separation). We find the temperature and gate-voltage dependence of the conductance through the dot in the conditions of spin-charge separation.