  Compact steady sources of X-ray emission have been detected at the positions
of at least two soft gamma-ray repeaters (SGRs). These sources have been
interpreted as synchrotron nebulae powered by the neutron star that is causing
the bursts. We explore a plerion model for the sources surrounding SGRs where
the steady observed emission is powered by the SGR bursts rather than by the
spin-down of a pulsar. In this case there is no limit on the neutron star
magnetic field. We find that the synchrotron lifetime of the particles injected
into the plerion around SGR1806-20 is long enough to smear out nebular emission
from individual bursts. Transient nebular emission would therefore not be
detected following an SGR burst. The combined radio emission from multiple
burst injections is expected to have a steeper spectrum than that of a typical
plerion.
