We have calculated the effect of hydrostatic pressure on select properties of a number of simple superconducting metals. We discuss the changes with decreasing volume in the critical temperature, the zero temperature gap, the condensation energy, and the normal state specific heat. Semiquantitative agreement with experiment is obtained in all cases. Throughout, the Eliashberg formulation is employed. Information on the kernels entering into these equations is taken from quasi particle tunneling data at zero pressure. At finite pressure the kernels are rescaled according to a simple model.