In the study of non-Fermi-liquid (NFL) phenomena in correlated metals, U2Pt2In is of special interest as it is one of the rare stoichiometric (undoped) materials that show NFL behaviour at ambient pressure. Here we report on the stability of the NFL phase with respect to hydrostatic pressure (p⩽1.8GPa). Electrical resistivity data under pressure, taken on a single-crystalline sample for a current in the tetragonal plane, show that TFL, i.e. the temperature below which the Fermi-liquid T2-term is observed, increases with pressure as TFL∼(p−pc), where pc≈0 is a critical pressure. This provides evidence for the location of U2Pt2In at an antiferromagnetic quantum critical point.