The aim of this paper is to determine maximum volume of deposits than can be withdrawn from each individual bank from the Czech banking sector and to identify the determinants of their sensitivity to a bank run. The data cover the period from 2000 to 2014. Although bank liquidity, measured by the liquid asset ratio, decreased during the analyzed period, Czech banks were liquid enough and prepared for a potential bank run. Using panel data regression analysis, we tested seven bank-specific factors and seven macroeconomic factors. The sensitivity of Czech banks to a possible bank run is determined by bank profitability. Among the macroeconomic factors, the interest rate and unemployment rate are relevant. However, the most important factor is the level of bank liquidity: banks with a sufficient buffer of liquid assets are safer than other banks, particularly during periods of financial distress.