This paper presents results of an initial study of dynamics and properties of electrical discharge in methyl alcohol (MeOH) placed in a small volume of limited expansion. The fluid passes through a sequence of phase transformation stages, including supercritical state, fast vaporization and condensation into fine droplets. The dynamics of plasma bubble was explored over a range of electrical parameters and electrodes geometry. The pressure and temperature inside of the test cell was estimated to be above the critical value Pcr=80bar, Tcr=513K, based on the electrical measurements. The electron density in plasma sustain in a supercritical fluid, measured using Stark broadening of Ha Balmer series line of hydrogen atoms, is as high as ne>2×1019cm-3.