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We theoretically consider the upper critical magnetic field, perpendicular toa conducting axis in a triplet quasi-one-dimensional superconductor. Inparticular, we demonstrate that, at high magnetic fields, the orbital effectsagainst superconductivity in a magnetic field are reversible and, therefore,superconductivity can restore. It is important that the above mentioned quantumlimit can be achieved in presumably triplet quasi-one-dimensionalsuperconductor Li$_{0.9}$Mo$_6$O$_{17}$ [J.-F. Mercure et al., Phys. Rev. Lett.{\bf 108}, 187003 (2012)] at laboratory available pulsed magnetic fields of theorder of $H = 500-700 \ T$.

Quantum Limit in a Magnetic Field for Triplet Superconductivity in a Quasi-One-Dimensional Conductor