  We derive a so-called gap equation for superconductivity in a
quasi-one-dimensional (Q1D) layered conductor in a magnetic field, which is
parallel to both its conducting plane and its conducting axis. This equation
demonstrates that the orbital destructive effects against superconductivity
cannot destroy it, if the perpendicular to the plane coherence length is less
than the inter-plane distance. On the basis of our results, we suggest
arguments that some triplet superconducting phase was indeed discovered in
ultrahigh magnetic fields in the Q1D superconductor Li$_{0.9}$Mo$_6$O$_{17}$
[see Xiaofeng Xu et al., Phys. Rev. Lett., $\bf{102}$, 206602 (2009).] We also
discuss a possibility that the above-mentioned superconducting phase can be
stable at arbitrary high magnetic fields.
