The criterion for the sheath formation for negatively charged particles is investigated for the cases where the positive ion temperature is higher than that of negatively charged particles. Such situations recently came up, for example, in the boundary of tokamak fusion plasmas, the ion beam cooled by cold electrons (electron-cooling plasma) and dusty plasmas when cold negatively charged dust floats within hotter positive ions. The paper is concerned with the sheath formation around a probe/electrode positively biased with respect to the plasma potential.