  We establish exponential bounds on the Ginzburg-Landau order parameter away
from the curve where the applied magnetic field vanishes. In the units used in
this paper, the estimates are valid when the parameter measuring the strength
of the applied magnetic field is comparable with the Ginzburg-Landau parameter.
This completes a previous work by the authors analyzing the case when this
strength was much higher. Our results display the distribution of surface and
bulk superconductivity and are valid under the assumption that the magnetic
field is H\"older continuous.
