Abstract: A clamping sleeve (12) for joining a pressure hose (14) with a metal braided sheathing with a fitting (10) comprises a tubular metal base member (40) with a first end which faces the fitting (10) and an opposite inlet end. At least in the area of the inlet end, the base member (40) is provided with a hollow cylindrical plastic insert (42) which extends at least to the inlet end of the plastic insert (40) the inner diameter of which in its axially inner end portion with respect to the base member corresponds at least approximately to the inner diameter of the base member (40) in a portion axially adjacent to the plastic insert (42). In the axially outer end portion of the plastic insert (42) the inner diameter of same continuously increases towards the axially outer end in order to prevent notch effects.