Experimentally determined values of the excess molar enthalpy H-m(E) are reported for binary mixtures of n-decanol, n-octanol, n-hexanol and n-butanol with n-hexane, at varying compositions at 298.65 K and 308.65 K and pressures up to 10 MPa. The dependence of H-m(E), on the composition, temperature, pressure and the size of the alkanol molecule is discussed. The H-m(E) values are positive over the entire mole fraction range, and increase with increasing temperature, but decrease with increasing pressure and increasing chain length of the n-alkanol.