The analysis of Shkarofsky on hot‐electron transport is extended to include a variable degree of collisionality and gradient scale length. An extended version of the method of Shvartsetal. [Phys. Rev. Lett.47, 247 (1981)] is used whereby the perturbed electron velocity distribution is limited in magnitude to the unperturbed part when the former becomes larger than the latter. A Maxwellian distribution is adopted for the hot electrons. For the cold electrons, either a Maxwellian, [exp(−v2/v2c)], or an exp(−v5/v5c) variation is used. The heat flow has coefficients proportional to gradients in cold‐ and hot‐electron density, to gradients in cold‐ and hot‐electron temperature, and the free‐streaming contribution. These contributions are summed for two sample sets of scale lengths. One set of results shows that in an intermediate range of collisionality, heat inhibition occurs, in that the flux limiter is decreasing substantially below the free‐streaming value, rather than increasing monotonically towards the collisionless regime.