In an embodiment, the invention provides a tool for chip removing machining, including a replaceable cutting insert and a basic body. The basic body includes a rear fixing part, a front supporting part having an insert seat, and a tightening part spaced apart from the front supporting part by a first gap and from the rear fixing part by a second gap. The tightening part is connected to the basic body via a joint around which the tightening part is pivoted to press the cutting insert against the insert seat by a front finger. The rear fixing part includes a first channel having an inlet and an outlet for feed of a fluid toward the cutting insert. The tightening part includes an internal, second channel that extends between an inlet and an outlet. A hollow coupling member extends between the tightening part and one of the rear fixing part and the front supporting part while bridging the respective gap to establish a fluid communication path between the outlet of the first channel and the inlet of the second channel.