  Nonabelian magnetic monopoles of Goddard-Nuyts-Olive-Weinberg type have
recently been shown to appear as the dominant infrared degrees of freedom in a
class of softly broken ${\cal N}=2$ supersymmetric gauge theories in which the
gauge group $G$ is broken to various nonabelian subgroups $H $ by an adjoint
Higgs VEV. When the low-energy gauge group $H$ is further broken completely by
e.g. squark VEVs, the monopoles representing $\pi_2(G/H)$ are confined by the
nonabelian vortices arising from the breaking of $H$, discussed recently
(hep-th/0307278). By considering the system with $G=SU(N+1)$, $ H = {SU(N)
\times U(1) {\o}{\mathbb Z}_N}$, as an example, we show that the total magnetic
flux of the minimal monopole agrees precisely with the total magnetic flux
flowing along the single minimal vortex.
  The possibility for such an analysis reflects the presence of free parameters
in the theory - the bare quark mass $m$ and the adjoint mass $\mu$ - such that
for $m \gg \mu$ the topologically nontrivial solutions of vortices and of
unconfined monopoles exist at distinct energy scales.
