This paper investigates the limitations and design trade-offs of closed-loop sensitivity of linear time invariant non-minimum phase MIMO plants, with l inputs and m outputs, where m ≤ l. The plant is embedded in a feedback structure. It is shown that if rows i1,.., ik of the plant, form noindent a k × l nonminimum phase plant, then the sensitivity of the elements of at least one row from i1,.., ik of the closed-loop system are limited, provided the others are not. This limitation is given by an upper bound on the bandwidth of a loop transmission that includes the plant's right half plane zeros, similar to SISO non-minimum phase systems.