Water pressures in conduit networks (e.g. linked cavities, R-channels, subglacial water sheets) support a fraction of glacier weight; the remainder is carried by elevated normal stresses where basal ice is separated from the bed by extremely thin water films. We show how the requirements for melt flow toward conduits constrain film water pressure regimes. Where permeable bed materials facilitate efficient drainage, film pressures approach conduit water pressures, and deficits below the ice normal stress require the direct ice–bed stress transfer, termed thermomolecular pressure, that accompanies interfacial premelting. Beneath warm-based regions of the Greenland Ice Sheet, premelting is likely wherever meter-scale till depths are present; bulk melting conditions, with film water pressures balancing ice normal stresses, are anticipated where the ice and bed are both effectively impermeable. Englacial transport through vein networks can facilitate premelting over small film areas on impermeable beds; absent significant vein transport, such locations are prone to the formation of basal crevasses, which can buffer water pressures near the minimum compressive stress. Interfacial premelting is important for the preservation of unconsolidated bedforms, the strengthening of debris–bed frictional contacts and the enhancement of basal temperature fluctuations; anticorrelations between nearby borehole pressure records are expected when bulk melting prevails.