  The meson screening mass in the pseudoscalar channel is calculated from the
momentum dependent meson spectral function, using HTL fermionic propagators. A
careful subtraction procedure is required to get an UV finite result. It is
shown that in the whole range of temperatures explored here the HTL screening
mass stays above the non-interacting result, slowly approaching the value
$m_{\trm{scr}}=2\sqrt{\pi^2T^2+m_\infty^2}$, where $m_\infty^2$ is the HTL
asymptotic thermal quark mass. Our analysis leads to a better understanding of
the excitations of QGP at sufficiently large temperatures and may be of
relevance for interpreting lattice results.
