It is widely accepted that the dipole approximation (i.e., ellimination of magnetic field
effects) fails when the interaction with very strong fields is studied. There are, however, many publications -particularly related to atomic stabilization- that study the dipole limit. It is shown in this note that the breakdown of the dipole approximation already appears for laser parameters generally regarded as a clear region to find atomic stabilization. Our simulations show the influence of the drift that is due to the magnetic field in situations in which a strong dichotomy of the wave function would otherwise have been expected.