The use of renewable energies in irrigation and pumping systems has seen an uptrend these last few years. Much research has been done on optimizing their sizing in their grid-connected configuration. However, less attention has been paid to the management of these already sized elements. This paper tackles the grid-tied pumping problem from an energetic standpoint, by studying the adequacy of a smart control scheme and the microgrid philosophy to a real irrigation system through simulation. This system utilizes classical control strategies coupled with manual programming, as the system at its maximum operational capacity presents a water deficit. In particular, a model predictive control (MPC)-based energy management is proposed to work in parallel with agronomic irrigation criteria and controllers, considering the irrigation loads as non-deferrable. The obtained results highlight a reduction on emitted GHGs due to an increase in the utilization of the existing renewable generation. The proposed scheme also manages a fully automatic process whilst reducing the operational cost of the pumping operation.