  In the recent article D\"oring et al. [4] the authors conditioned a stable
process with two-sided jumps to avoid an interval. As usual the strategy was to
find an invariant function for the process killed on entering the interval and
to show that the corresponding h-transformed process is indeed the process
conditioned to avoid an interval in a meaningful way. In the present article we
consider the case of a completely asymmetric stable process. It turns out that
the invariant function found in [4] does not exist or is not invariant but
nonetheless, we will characterize the conditioned process as a Markov process.
