A method of extraction of one or more polar oils from a biomass substrate into an oily surfactant extract phase (OSEP), the method comprising: i) mixing an aqueous diluting solution, a dilutable extraction media (DtableEM) and the biomass substrate containing one or more polar oils to obtain a mixture having a biomass residue and a liquid phase comprising an emulsified OSEP and an excess aqueous phase, the DtableEM comprising: (a) 0 to 10% of a surfactant, having at least one hydrocarbon group with 12 to 18 carbon atoms; (b) a hydrophilic linker, having one hydrocarbon group with 6 to 10 carbon atoms; and (c) a solvent oil, excluding linear alkanes; ii) separating the biomass residue in the mixture from the liquid phase; and iii) separating in the liquid phase the excess aqueous phase from the emulsified OSEP to obtain the OSEP containing the extracted one or more polar oils.