  The specific heat of an attractive (interaction $G<0$) non-local Hubbard
model is investigated. We use a two-pole approximation which leads to a set of
correlation functions. In particular, the correlation function $\
<\vec{S}_i\cdot\vec{S}_j\ >$ plays an important role as a source of anomalies
in the normal state of the model. Our results show that for a giving range of
$G$ and $\delta$ where $\delta=1-n_T$ ($n_T=n_{\uparrow}+n_{\downarrow}$), the
specific heat as a function of the temperature presents a two peak structure.
Nevertehelesss, the presence of a pseudogap on the anti-nodal points
$(0,\pm\pi)$ and $(\pm\pi,0)$ eliminates the two peak structure, the low
temperature peak remaining. The effects of the second nearest neighbor hopping
on the specific heat are also investigated.
