An assembly for conducting and tempering a fluid includes at least one connector having at least three outlets/intakes. A hose is attached to a first one of the outlets/intakes of the at least one connector. A tempering device is arranged inside a cavity of the hose and extends outside the hose through a second one of the outlets/intakes of the connector positioned approximately opposite the first outlet/intake. Fluid is conducted in the cavity of the hose between the outer wall of the hose and the tempering device. A third one of the outlets/intakes of the connector communicates with the cavity of the hose. The hose and tempering device are each connected to the connector by either a form-fitting or material-to-material connection.