  Four-dimensional $\mathcal{N}=4$ super Yang-Mills theory admits interfaces
that preserve integrability of the theory. It was shown that addition of
fundamental hypermultiplets living on a co-dimension one defect is an example
of such an interface. We consider NS5 interface as a different example of
half-BPS defect in this theory and prove that integrability is generically
broken already at one loop. We show that one-loop dilatation operator acting on
boundary local operators does not lead to an integrable spin chain. The same is
true also for D5-like and NS5-like boundaries.
