Abstract: A conveying hose having a hose wall that is provided with reinforcement is provided. The hose wall also has at least one segmented, collar-like floating member that extends about the hose, and has at least one shoulder that is disposed on the outer side of the hose, extends about the periphery thereof, and extends into a correspondingly shaped recess of the floating member. In the region of the shoulders, both outwardly and inwardly of the reinforcement, outer and inner support elements are embedded in the hose wall. These support elements prevent an enlargement of the circumference of the hose when internal pressures increase, and prevent a reduction of the circumference of the hose when axially directed tension stresses increase.