Thermodynamics of hydration of the C₆₀ fullerene in normal and supercritical conditions is studied through the use of molecular dynamics simulations. The hydration free energy is calculated using the thermodynamic integration technique. It is observed that the hydrophobicity of the C₆₀ in normal water is entropy-driven and characterized by a free energy of about 58kJmol⁻¹. Our thermodynamic results indicate that this hydrophobic character is sensitively reduced in a supercritical state near of the critical point and that the solubility of the C₆₀ can be found in the supercritical region by varying pressure and temperature. The simulations reveal that for pressures above 570bar (at 673K) and temperatures above 770K (at pressures of 250 and 350bar) the solubilization process becomes favorable. Structural and dynamical aspects of supercritical solutions were also analyzed.