A method of fabricating a food supplement based at least on an essential oil in powder form, the method being characterized in that it consists: - in pre-centrifuging a certain quantity of alga at a centrifuging speed V1 in revolutions per minute (rpm); - in raising the centrifuging speed to a value V2 in revolutions per minute (rpm) greater than V1 while mixing with said certain quantity of pre-centrifuged alga a certain quantity of essential oil in powder form raised to a determined temperature in order to obtain an alga-and-essential-oil mixture in a first state; - in maintaining the centrifuging of the alga-and-essential-oil mixture in the first state at the speed V2 for a time duration T1 in order to obtain an alga-and-essential-oil mixture in a second state; - in subjecting the alga-and-essential-oil mixture in said second state to a determined pressure for a time duration T2 under an atmosphere of a given gas in order to obtain an alga-and-essential-oil mixture in a third state; - in returning, at the end of said time duration T2, the mixture of alga and essential oil in a third state to atmospheric pressure and to ambient temperature in order to obtain a mixture of alga and essential oil in a fourth state; - in subjecting the alga-and-essential-oil mixture in said fourth state to further centrifuging at a speed V3 in revolutions per minute (rpm) while adding a certain quantity of dry extract of plants and of colloidal silica, for a time duration T3, in order to obtain a final mixture in a fifth state; and - in leaving said final mixture in said fifth state to rest for a time duration T4 in order to obtain a powder suitable for constituting said food supplement based on essential oil in powder form. - in pre-centrifuging a certain quantity of alga at a centrifuging speed V1 in revolutions per minute (rpm); - in raising the centrifuging speed to a value V2 in revolutions per minute (rpm) greater than V1 while mixing with said certain quantity of pre-centrifuged alga a certain quantity of essential oil in powder form raised to a determined temperature in order to obtain an alga-and-essential-oil mixture in a first state; - in maintaining the centrifuging of the alga-and-essential-oil mixture in the first state at the speed V2 for a time duration T1 in order to obtain an alga-and-essential-oil mixture in a second state; - in subjecting the alga-and-essential-oil mixture in said second state to a determined pressure for a time duration T2 under an atmosphere of a given gas in order to obtain an alga-and-essential-oil mixture in a third state; - in returning, at the end of said time duration T2, the mixture of alga and essential oil in a third state to atmospheric pressure and to ambient temperature in order to obtain a mixture of alga and essential oil in a fourth state; - in subjecting the alga-and-essential-oil mixture in said fourth state to further centrifuging at a speed V3 in revolutions per minute (rpm) while adding a certain quantity of dry extract of plants and of colloidal silica, for a time duration T3, in order to obtain a final mixture in a fifth state; and - in leaving said final mixture in said fifth state to rest for a time duration T4 in order to obtain a powder suitable for constituting said food supplement based on essential oil in powder form.