The present invention relates to an annular barrier to be expanded in an annulus between a well tubular structure and an inside wall of a borehole downhole for providing zone isolation between a first zone and a second zone of the borehole. The annular barrier comprises a tubular part extending in a longitudinal direction for mounting as part of the well tubular structure; an expandable sleeve surrounding the tubular part and defining a space being in fluid communication with an inside of the tubular part; a first fluid passage for letting fluid into the space to expand the sleeve; and a connection unit comprising a connection part slidably connected with the tubular part, a first end of the expandable sleeve being connected with the connection part, wherein the connection unit further comprises a stationary part fixedly connected with the tubular part and an actuation mechanism adapted to induce an axial force on the first end of the expandable sleeve.