A system, including a handpiece with a tool formed by a hollow needle and a lateral surface surrounding the hollow needle, where the hollow needle forms a first channel and a second channel is formed between the hollow needle and the lateral surface, an irrigation device, an aspiration device, a manifold device and a control device. In a first operating mode, the manifold device connects the second channel and the irrigation device for the exchange of fluids and connects the first channel and the aspiration device for the exchange of fluids. In a second operating mode, the manifold device connects the first channel and the irrigation device for the exchange of fluids. The pressure at which the irrigation device delivers fluid to the manifold device is controllable linearly in the second operating mode by the control device.
