The predictive ability of the model proposed by Treszczanowicz and Benson [Fluid Phase Equilib. 23 (1985) 117] is tested for temperature dependence of the excess volume: excess molar isobaric thermal expansion defined as A(p)(E) = (partial derivativeV(E)/partial derivativeT)(p) and (partial derivative V-2(E)/partial derivativeT(2))(p) for binary systems formed by an 1-alkanol (from C-2 to C-12) and an alkane (from C-4 to C-14) for all available literature data. The model equations for these properties are expressed as sums of the three contributions: self-association described by athermal associated mixture model and free volume and non-specific interactions described by Flory equation of state. The model correctly predicts A(p)(E) and sign of temperature derivative (partial derivative V-2(E)/partial derivativeT(2))(p) for regarded class of mixtures. Moreover, the model predicts complex shape of the A(p)(E) curve and its temperature changes for diluted I-decanol in n-hexane solutions.