  Vortices carrying truly non-Abelian flux moduli, which do not dynamically
reduce to Abelian vortices, are found in the context of softly-broken ${\cal
N}=2$ supersymmetric chromodynamics (SQCD). By tuning the bare quark masses
appropriately we identify the vacuum in which the underlying SU(N) gauge group
is partially broken to $SU(n) \times SU(r) \times U(1)/{\mathbbm Z}_{K}$, where
$K$ is the least common multiple of $(n, r)$, and with $N_{f}^{su(n)}=n$ and
$N_{f}^{su(r)}=r$ flavors of light quark multiplets. At much lower energies the
gauge group is broken completely by the squark VEVs, and vortices develop which
carry non-Abelian flux moduli $CP^{n-1}\times CP^{r-1}$. For $n>r$ we argue
that the SU(n) fluctuations become strongly coupled and Abelianize, while
leaving weakly fluctuating $SU(r)$ flux moduli. This allows us to recognize the
semi-classical origin of the light non-Abelian monopoles found earlier in the
fully quantum-mechanical treatment of 4D SQCD.
