A microchip with capillaries and method for making same is described. A sacrificial material fills microchannels formed in a polymeric substrate, the filled microchannels are covered by a top cover to form filed capillaries, and the sacrificial material is removed to form the microcapillaries. The sacrificial material fills the microchannels as a liquid whereupon it becomes solid in the microchannels, and is liquefied after the top cover is applied and affixed to remove the sacrificial material. The top cover may be solvent sealed on the substrate and of the same or different material as the substrate. The top cover may also be an in situ applied semipermeable membrane.