In recent years, several new measurements of the antiproton component of cosmic radiation became available. These measurements significantly improved the existing statistics extending the explored energy region from few tens of MeV up to hundreds of GeV. These measurements are particularly relevant to understand the propagation of cosmic rays in the Galaxy and to investigate the nature of dark matter. However, an unambiguous interpretation of the experimental data requires a proper reconstruction of the Local Interstellar Spectrum of cosmic-ray antiprotons. Since the measurements are performed inside the Heliosphere, the solar modulation, which is a time-dependent effect following the 11-year solar activity, has to be taken into account. In this work, using a 3D state-of-art solar modulation model, a new Local Interstellar Spectrum for the cosmic-ray antiproton and its related uncertainties are presented. The Local Interstellar Spectrum was derived to match, when modulated, the data sets from AMS02, PAMELA, and BESS Polar II.