In this paper we calculate the barocaloric and the magnetocaloric effects under applied pressure in the compound La(Fe0.89Si0.11)13. We use a microscopical model in the framework of the band theory of magnetism, where the Coulomb interaction between itinerant electrons is treated in the mean field approach. Our theoretical calculations point out that both the barocaloric potentials [ΔS]B and [ΔTad]B at fixed magnetic field, and the magnetocaloric potentials ΔS and ΔTad under simultaneous variation of magnetic field and pressure, reach large values in a wide range of temperatures.