Abstract In a tokamak divertor, steep gradients in the density and temperature profiles are usually established with a scale length that is often shorter than the mean-free path of energetic electrons. The electron flux is then non-local in nature, being determined not only by local density and temperature gradients but by integrals of these quantities over an extended region in space. In the present work, such non-local expressions for the electron particle and heat fluxes are derived, generalizing earlier work to include the effects of walls bounding the plasma. The results are found to be in excellent agreement with a numerical solution of the full kinetic equation, if the temperature falls off rapidly near the wall. In the opposite limit of a nearly isothermal plasma, a comparison with a variational calculation of the particle flux is presented, showing less satisfying agreement.