In this paper, we determine the location of the neutron drip line for light [Formula: see text] hypernuclei. Predictions are made for elements up to carbon within the Skyrme–Hartree–Fock approach. It is shown that [Formula: see text]Li, [Formula: see text]B and [Formula: see text]C with unstable nuclear cores are bound whereas [Formula: see text]He and [Formula: see text]Be are not.