  We explore the effect of fluctuations for $T \geq T_c$ in the 2-D negative
Hubbard model within the framework of the selfconsistent T-matrix formalism,
which goes beyond the BCS approximation and includes pair fluctuations. We
enter the regime where correlations are important, namely, $U/t = -4.0$, where
$t$ denotes the hopping matrix element between nearest neighboors and $U$ is
the strength of the on-site interaction. Our results include: 1) In comparison
to the free case, the distribution function, $n({\bf k})$, reveals considerable
renormalization. This fact makes us conclude that the Fermi surface is blurred
for correlated electron systems; 2) There is a pseudogap in the density of
states, $N(\omega)$, around the chemical potential, $\mu$; and 3) The real part
of the T-matrix, at zero frequency and zero momentum, vs $T/t$ shows a
divergence at a particular temperature. This last result shows that more
approximate T-matrix calculations, extended to $T~=~0$ are meaningless.
