  We investigate the secrecy performance of a multiuser diversity scheme for an
interference-limited wireless network with a base-station (BS), $N$ legitimate
users and an eavesdropper, in the presence of a single dominant interferer.
Assuming interference dominates noise power at the eavesdropper and at each
legitimate user's receiver, the BS transmits information to the legitimate user
with the $k$-th best (highest) signal-to-interference ratio. We derive a
closed-form expression for the secrecy outage probability for an arbitrary $N$
and an asymptotic expression for a fixed $k$ and large $N$. Furthermore, we
derive a closed form asymptotic expression for the ergodic secrecy capacity of
the $k$-th best user and show that it scales like $O\left(\log(N)\right)$ for a
fixed $k$ and large $N$.
