The present invention relates to an openwork prosthetic knit (1) made from a single piece based on first yarns of biocompatible polymer materials that define a first face (2) and a second face that are opposite one another and on a second biocompatible yarn that generates barbs (3) that protrude outwards from at least said first face, characterized in that said first face comprises at least one zone in which it is provided with said barbs and at least one zone (5) in which it is free of such barbs. It also relates to a process for manufacturing such a knit (1) and to a prosthesis comprising such a knit (1).