A novel technique for enhancing the performance of supercritical fluid extraction (SFE) was developed in this study. This technique integrates the cold pressed method and the SFE technique called supercritical fluid extraction assisted by pressing (SFEAP). SFEAP was compared with SFE in terms of its extraction performance of pequi, which is a native Brazilian fruit with a high lipid content. It was found that SFEAP obtained an extract mass eight times higher than that of SFE during the first minute of extraction, which corresponded to an increase of yield of 18.2 g/100 g of raw material.