  We study the effect of supergravity corrections due to a linear and a
bilinear term in the K\"ahler potential, in the context of a supersymmetric
hybrid inflation model. By appropriate choice of the parameters associated to
these terms, we are able to satisfy the main cosmological constraints for the
spectral index $n_s$ and the tensor-to-scalar ratio $r$. In addition, this
model predicts primordial black hole abundance enough to account for the whole
dark matter of the Universe and gravitational wave spectra within the reach of
future detection experiments. The predictions of the model can be made
compatible to the NANOGrav reported signal, at the cost of significantly lower
primordial black hole abundance.
