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We employ the exponentially improved asymptotic expansions of the confluenthypergeometric functions on the Stokes lines discussed by the author [Appl.Math. Sci. {\bf 7} (2013) 6601--6609] to give the analogous expansions of themodified Bessel functions $I_\nu(z)$ and $K_\nu(z)$ for large $z$ and finite$\nu$ on $\arg\,z=\pm\pi$ (and, in the case of $I_\nu(z)$, also on$\arg\,z=0$). Numerical results are presented to illustrate the accuracy ofthese expansions.

A note on the asymptotics of the modified Bessel functions on the Stokes lines