We discuss the coexistence of antiferromagnetism and -wave superconductivity within the so-called statistically consistent Gutzwiller approximation (SGA) applied to the –– model. In this approach, the averages calculated in a self-consistent manner coincide with those determined variationally. Such consistency is not guaranteed within the standard renormalized mean-field theory. With the help of SGA, we show that for the typical value , coexistence of antiferromagnetism (AF) and superconductivity (SC) appears only for and in a very narrow range of doping in the vicinity of the Mott insulating state, in contrast to some previous reports. In the coexistent AF+SC phase, a staggered spin-triplet component of the superconducting gap appears also naturally; its value is very small.