  We show that topological vortex pumping can be implemented for a dilute
Bose-Einstein condensate confined in a magnetic time-averaged orbiting
potential trap with axial optical confinement. Contrary to earlier proposals
for the vortex pump, we do not employ an additional optical potential to trap
the condensate in the radial direction, but instead, the radial confinement is
provided by the magnetic field throughout the pumping cycle. By performing
numerical simulations based on the spin-1 Gross-Pitaevskii equation, we find
that several pumping cycles can be carried out to produce a highly charged
vortex before a majority of the particles escape from the trap or before the
vortex splits into singly charged vortices. On the other hand, we observe that
an additional, relatively weak optical plug potential is efficient in
preventing splitting and reducing particle loss. With these results, we hope to
bring the vortex pump closer to experimental realization.
