  Using electronic structure calculation we study the superconducting
properties of the theoretically-devised superconductor MS1-LiB (LiB). We
calculate the electron-phonon coupling ($\lambda=0.62$) and the phonon
frequency logarithmic average ($<\omega >_{log}=54.6$ meV) and show that the
LiB critical temperature is in the range of 10-15 K, despite the frozen-phonon
deformation potential being of the same order of MgB$_2$. As a consequence, LiB
captures some of the essential physics of MgB$_2$ but (i) the electron-phonon
coupling due to $\sigma$ states is smaller and (ii) the precious contribution
of the $\pi$ carriers to the critical temperature is lacking. We investigate
the possible change in $T_c$ that can be induced by doping and pressure and
find that these conditions cannot easily increase $T_c$ in LiB.
