This study deals with the modelling of the extraction of solid lanoline from raw wool under near-critical conditions using 5% ethanol in CO 2 , using our previous experimental data. A mass-transfer model is developed to explain the extraction results at T = 30ºC, below the melting point of lanoline (36-42ºC). Two variables are studied, the extraction pressure and the solvent mass flowrate. Our model depends on three parameters: the solubilities of the two lanoline fractions and the lanoline mass transfer coefficient. The model is a set of first-order partial differential equations, that is solved by orthogonal collocation in combination of optimization of the parameters. The fluid-side masstransfer coefficient decreases with extraction pressure and is about 5 x 10-6 m/s for Re < 1 (at 70-150 bar) and depends on fluid velocity. The solubilities of lanoline fractions, independent of flowrate, agree very well with those previously reported. Nomenclature: See end of the manuscript. 1.Introduction Lanoline is a natural wax secreted by the sebaceous glands of sheep that finds valuable applications in pharmacy and cosmetics [1-2]. Lanoline is traditionally obtained from raw wool by washing the sheep with water and soap. For pharmaceutical and cosmetic applications, however, it cannot be used directly, as it requires a complex purification process. An interesting alternative is to use a waterless washing with high pressure carbon dioxide, either neat [3,4] or modified with co-solvents [5,6], in the liquid state or as supercritical fluid. This paper focuses on the high pressure extraction of lanoline from raw wool under near-critical conditions with ethanol-modified CO 2 , using our previously published experimental results [6, 7]. Among the first authors to study SCF applied to lanoline extraction from raw wool are King and coworkers [3], Koo at al. [5] as well as New Zealand researchers [3]. These authors used neat CO 2 in their studies. Shortly later, we filed a patent [7] based on the fractionation of lanoline lipids using compressed CO 2 , using either raw wool or technical lanoline as a starting material, with a solvent based on modified CO 2 [7]. Solvent-modified CO2 under quasi-critical conditions is faster than neat CO2 [6,7] requiring less pressure and temperature. In the present paper, we specifically focus on the two lanoline fractions obtained in the process of Bayona et al. [7] and the evidence about their existence provided in our previous work [6]. Bayona found that there are two fractions: 1) A lanoline soluble in the cosolvent, that is highly polar and has a narrow molecular weight, and 2) Another lanoline fraction insoluble in the cosolvent, that has a wide molecular weight distribution. More recently, further characterization have been made [8-10].