The supercooling of the melt before the start of crystal growth depends on the previous overheating of the liquid, stoichiometry of the melt, and cooling rate. Differential thermal analysis (DTA) scanning experiments were performed for different cooling rates under constant Cd vapor pressures, which were varied from 1 atm to 5 atm. The maximum cooling rate was 1 K/min and the minimum was 0.05 K/min. It was found that the degree of supercooling systematically decreases with increasing of Cd vapor pressure and near 4-5 atm practically approaches zero. This complex behavior could be explained by a structural alteration in the state of the CdTe melt during stepwise changing of its stoichiometry from Te-to Cd-rich.