The chromium mono-arsenide, CrAs, which was found more than 40 years ago, has regained much attention due to recent discovery of the pressure-induced superconductivity in it. The superconductivity was found to appear on suppression of the magnetic phase, displaying a maximum superconducting transition temperature Tc = 2.2 K at about 1 GPa. Increasing the pressure further decreases Tc, and the superconducting phase adopts a dome-like shape. The close proximity of superconductivity to magnetism in CrAs resembles that of the well-studied FeAs-based superconductors and opens a new avenue for searching novel superconductors in the Cr-based systems.With the first neutron-sized CrAs single crystal synthesized recently, we propose to perform a systematic neutron diffraction measurement under hydrostatic pressure, to re-check the magnetic ground state, to clarify the evolution of the Cr magnetic structure under pressure, and to probe the interplay between the Cr magnetism and the superconductivity.