Surfaces that can repel various types of liquid and retain surface properties over acceptably long periods of time are in great demand. Here, we presented a simple but effective technique to fabricate slippery, lubricant-infused surfaces with excellent liquid-repellent properties and resistance to hydrodynamic damage, evaporation, and high static pressure. Chemically-functionalized multiscale-textured surfaces were impregnated by highly-viscous and vacuum-grade lubricants that fully wetted the nanoscale roughness while conformed to the microscale textures. This generated slippery rough surfaces with improved liquid-resistant properties evaluated by water and highly-adhesive latex. The respective contact angles of water and latex droplets were above 130.1 ± 0.8° and 105.7 ± 1.1°, while water and latex sliding angles were less than 5.8 ± 0.7° and 8.7 ± 0.7°, respectively. More importantly, the slippery roughness reduced liquid-lubricant contact areas, and protected the lubricating layer from flow-induced erosion. The particular lubricant-infused surfaces can withstand an impact of a water jet speed up to 2.6 ms−1 for at least 10 min. Furthermore, the viscous lubricant layer was unaffected by evaporation at 65 °C for at least 11 weeks, and stable under hydrostatic pressure of 150 kPa for 20 min.