An annular barrier for providing zonal isolation in an annulus downhole between a well tubular metal structure and another well tubular metal structure or a wall of a borehole, comprising: - a tubular metal part with an outer part face configured to be mounted as part of the well tubular metal structure, - an expandable metal sleeve surrounding the tubular metal part, forming an expandable space therebetween; the expandable metal sleeve is configured to be expanded in a well downhole from a first outer diameter (D 1) to a second outer diameter (D 2) to abut against the well tubular metal structure or the wall of the borehole, the expandable metal sleeve having a first end, a second end, an outer face, and a longitudinal extension, wherein the first end of the expandable metal sleeve has a first part of a mechanical connection, and wherein the first end of the expandable metal sleeve is connected to the tubular metal part by means of a bite connection characterised in that the bite connection comprises: - a cutting ring comprising an outer ring face having an inclined face and an inner ring face having a first cutting edge configured to cut into the outer part face, and - a connection ring with a second part of the mechanical connection engaging the first part of the mechanical connection of the expandable metal sleeve when the inclined face slides along a tapering face of the expandable metal sleeve for pressing the first cutting edge into the outer part face, fastening the expandable metal sleeve to the tubular metal part. - a tubular metal part with an outer part face configured to be mounted as part of the well tubular metal structure, - an expandable metal sleeve surrounding the tubular metal part, forming an expandable space therebetween; the expandable metal sleeve is configured to be expanded in a well downhole from a first outer diameter (D 1) to a second outer diameter (D 2) to abut against the well tubular metal structure or the wall of the borehole, the expandable metal sleeve having a first end, a second end, an outer face, and a longitudinal extension, wherein the first end of the expandable metal sleeve has a first part of a mechanical connection, and wherein the first end of the expandable metal sleeve is connected to the tubular metal part by means of a bite connection characterised in that the bite connection comprises: - a cutting ring comprising an outer ring face having an inclined face and an inner ring face having a first cutting edge configured to cut into the outer part face, and - a connection ring with a second part of the mechanical connection engaging the first part of the mechanical connection of the expandable metal sleeve when the inclined face slides along a tapering face of the expandable metal sleeve for pressing the first cutting edge into the outer part face, fastening the expandable metal sleeve to the tubular metal part. - a cutting ring comprising an outer ring face having an inclined face and an inner ring face having a first cutting edge configured to cut into the outer part face, and - a connection ring with a second part of the mechanical connection engaging the first part of the mechanical connection of the expandable metal sleeve when the inclined face slides along a tapering face of the expandable metal sleeve for pressing the first cutting edge into the outer part face, fastening the expandable metal sleeve to the tubular metal part.