The delay in arrival times at the earth of solar cosmic rays has traditionally been explained in terms of diffusive transport within the corona to locations distant from the flare site and subsequent escape followed by interplanetary propagation more or less along the spiral field. The mechanism of such diffusive coronal transport has often been thought to be pitch angle scattering by irregularities in the coronal magnetic field. Recently, Ma-Sung et al. have noted that the time delays attributed to the coronal portion of the propagation for electrons between 0.5 and 12 MeV and protons between 4 and 100 MeV are independent of rigidity and energy. It is demonstrated that the observed delays, their independence of rigidity over 2 orders of magnitude, and the absence of significant losses of particles in traveling large distances in the corona are inconsistent with propagation by continuous diffusion by pitch angle scattering for any reasonable topology of the coronal magnetic field. We propose an alternate mechanism for the coronal transport of solar cosmic rays: the bird cage model, in which particles are normally transferred between adjacent flux tubes by field line reconnection produced by the rearrangement of the field in the supergranulation network. The observed size of coronal flux loops and the rate of reorganization of flux in the supergranulation network lead to 'diffusion' rates which are both independent of rigidiaty and energy and consistent with the observed propagation rates.