The present invention relates to an annular barrier for being expanded in an annulus between a well tubular structure and an inside wall of a borehole downhole. The annular barrier comprises a tubular part for mounting as part of the well tubular structure; an expandable sleeve made of a first metal, surrounding the tubular part and defining a space being in fluid communication with an inside of the tubular part, the expandable sleeve having a longitudinal extension, an inner face facing the tubular part and two ends; a connection part made of a second metal, connecting the expandable sleeve with the tubular part; an opening for letting fluid into the space to expand the sleeve, and a transition area comprising a connection of the sleeve with the connection part.