It is a method for improving palm oil yields, the method comprising: mixing an enzymatic composition comprising cellulase activity with a palm fruit or a portion thereof or a palm fruit liquid, wherein said palm fruit or portion thereof or palm fruit liquid, when mixed, comprises a maximum of 40% w / w water content; incubating the mixture for 0.5 to 8 hours (preferably 4 to 8 hours) at 50 ° C to 95 ° C; and separate the oil from the other components of the mixture. The claims are also directed to a palm oil phase, a sludge phase or an aqueous phase obtainable by the method. The claims are also directed to the use of the aqueous phase as a fermentation medium or a method for producing a fermentation product comprising fermenting a raw material comprising said aqueous phase and recovering said fermentation product, for example biofuel. .
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