The effect Of hydrostatic pressure. (p less than or equal to 1.8 GPa) on the non-Fermi liquid statu Of U2Pt2In is investigated by electrical resistivity measurements in the temperature interval 0.3-300 K. The experiments were carried out on single-crystals with the current along (I \ \ c) and perpendicular (I \ \ a) to the tetragonal axis. The pressure effect is strongly current-directinn dependent,. For I \ \ a we observe a rapid recovery of the Fermi-liquid T-2-term with pressure, A comparison of the data with the magnetotransport theory of Rosch provides evidence for the location Of U2Pt2In at an antiferromagnetic quantum critical point. For I \ \ c the resistivity increases under pressure, indicating the enhancement of an additional scattering mechanism.