A system for driving a fuel pump in a turbine engine is disclosed. The system includes an electric motor and a fluid flow assistance unit controlled by a control valve. In the system, the control valve is a regulator valve the opening of which is controlled as a function of information representative of the speed of the pump, and/or the speed of the turbine engine, and/or the flow rate of fuel delivered to the turbine engine. As a result, operating safety of the turbine engine can be increased in the event of the electric motor failing or of its electricity generator failing, and the weight/size/cost ratios of the drive system are improved.