Disclosed is a system for priming a fluid jetting device. The system includes a fluid trench configured within a fluid jetting chip of the fluid jetting device and at least one first channel fluidly coupled to the fluid trench. The at least one first channel extends vertically between the fluid jetting chip and a mounting unit adapted to support the fluid jetting chip, and is adapted to supply a priming fluid to the fluid trench. The system further includes at least one second channel fluidly coupled to the fluid trench. The at least one second channel extends vertically between the fluid jetting chip and the mounting unit, and is adapted to drain-out the priming fluid from the fluid trench. Further disclosed are systems for priming a fluid jetting device, in accordance with various embodiments of the present disclosure.