  Motivated by the presence of nearby thresholds in other baryon-meson channels
with I=1 and S=-1, we investigate whether the Lambda pi scattering phase shifts
at a center-of-mass energy equal to the Xi mass could be larger than suggested
by lowest-order chiral perturbation theory. Within a coupled-channel K-matrix
approach, we find that the S-wave phase shift could be as large as -7 degrees.
