Abstract. We studied thep interactions with the nuclear medium within the 2009 version of the ParisNN potential model. We constructed thep-nucleus optical potential using the Paris S -and P-wavepN scattering amplitudes and treated their strong energy and density dependence self-consistently. We considered a phenomenological P-wave term as well. We calculatedp binding energies and widths of thep bound in various nuclei. The P-wave potential has very small effect on the calculatedp binding energies, however, it reduces the corresponding widths noticeably. Moreover, the S -wave potential based on the Paris amplitudes supplemented by a phenomenological P-wave term yields thep binding energies and widths in very good agreement with those obtained within the RMF model consistent withp-atom data.