A system and a method are disclosed herein that relate to powering a pumping system within a downhole tool. The system may include a turbine having a shaft extending therefrom, in which the turbine is configured to convert energy from a fluid received therein into rotational energy for the shaft. The system may further include a pumping system coupled to the shaft of the turbine, in which the pumping system includes one or more driving devices coupled to one or more displacement units. The displacement units may have a cavity formed therein, in which the cavity is configured to receive a fluid therein. The driving devices may then be configured to drive the displacement units such that the fluid is received within the cavity of the displacement units.