We investigate the Maximally Abelian (MA) Projection for a single SU(2
) instanton in continuum gauge theory. We find that there is a class o
f solutions to the differential MA gauge condition with circular monop
ole loops of radius R centered on the instanton of width p. However, t
he MA gauge fixing functional G decreases monotonically as R/p --> 0.
Its global minimum is the instanton in the singular gauge. We point ou
t that interactions with nearby anti-instantons are likely to excite t
hese monopole loops.