The mechanisms found for the magnetic transport of fast ions in the work of Hauff et al. ͓Phys. Rev. Lett. 102, 075004 ͑2009͔͒ are extended to the diffusion of runaway electrons. Due to their smaller mass and larger energy, they behave strongly relativistically, for which reason the scaling laws defined previously have to be modified. It is found that due to these changes, the regime of constant magnetic transport does not exist anymore, but diffusivity scales with E −1 for magnetic transport, or even with E −2 in the case that finite gyroradius effects become important. It is shown that the modified analytical approaches are able to explain the surprisingly small values found in experiments, although it cannot be excluded that possibly other reduction mechanisms are present at the same time.