We study numerically superconductivity in a system characterized by the presence of a phenomenological ”pseudogap”, Eg, in the energy spectrum, for 0 < T < Ts.T* is a crossover temperature. As a simplification, the pseudogap and the superconducting gap have the same s-wave symmetry. We find that for<FONT FACE=Symbol>"</FONT>Eg <FONT FACE=Symbol>¹</FONT> 0 we require a critical value of the superconducting interaction, Vd, to produce a finite superconducting critical temperature, Tc and another one for deltao <FONT FACE=Symbol>¹</FONT> 0.