  We study the role of the onset of Shockley states, $D_s$, belonging to (111)
surfaces of Cu, Ag and Au in the Kondo effect when a magnetic impurity is
deposited on them. When $D_s$ approaches to the Fermi level, $E_F$, thing that
can be done by compressing (stretching) the metallic sample, we found that most
of the thermodynamic and dynamic properties of the impurity are affected in a
non trivial way. We model the system by a generic Anderson impurity model and
solve it by using the numerical renormalization group, NRG, technique. In
particular, the impurity contribution to magnetic susceptibility and entropy as
a function of temperature exhibit negative values and goes to zero slowly in a
logarithmic shape. Furthermore, we found a suppression of the spectral density
weight at the Fermi level when $D_s\sim E_F$ even in the Kondo regime. As a
consequence, the conductance through the impurity is strongly reduced by near
$25\%$ of the unitary value $2e^2/h$. Finally, we analyze these features in
realistic systems like Co on Ag(111) reported in the literature.
