Process for manufacturing a prosthetic knit made from a single piece based on at least a first yarn made of biocompatible polymer material that defines a first face and a second face that are opposite one another and from a second biocompatible yarn that generates barbs that protrude outwards from at least said first face, said first face comprising at least one longitudinal strip in the direction of the manufacture of said knit, over which it is provided with said barbs, and at least one longitudinal strip in the direction of the manufacture of said knit, over which it is free of such barbs, comprising the following steps: - a) manufacture of an arrangement of said first yarns of biocompatible polymer materials that define a first face and a second face that are opposite one another for said knit and of at least said second yarn, biocompatible heat-fusible monofilament yarn, that forms small loops that protrude outwards from said first face, by knitting on a warp or Raschel knitting machine, of said first yarns and of said second yarn using at least three guide bars, said first yarns being threaded, continuously on two of said three guide bars, over the whole of the width of said knitting machine, said second yarn being threaded, intermittently on the third guide bar, only over a width corresponding to the width of the strip(s) provided with barbs of said knit, the chart followed for the knitting of said first and second yarns being selected from the following charts: for said first yarns, threaded on two guide bars B1 and B2, according to the ISO 11676 standard: - bar B1: 1.0/0.1// - bar B2: 1.0/5.5/1.0/3.3// or 1.0/7.7/6.6/7.7// for said second yarn, threaded on the third guide bar B3, according to the ISO 11676 standard: - bar B3: 2.1/5.5/3.4/0.0// - b) cutting, by melting, of said loops, each loop generating two barbs. - a) manufacture of an arrangement of said first yarns of biocompatible polymer materials that define a first face and a second face that are opposite one another for said knit and of at least said second yarn, biocompatible heat-fusible monofilament yarn, that forms small loops that protrude outwards from said first face, by knitting on a warp or Raschel knitting machine, of said first yarns and of said second yarn using at least three guide bars, said first yarns being threaded, continuously on two of said three guide bars, over the whole of the width of said knitting machine, said second yarn being threaded, intermittently on the third guide bar, only over a width corresponding to the width of the strip(s) provided with barbs of said knit, the chart followed for the knitting of said first and second yarns being selected from the following charts: for said first yarns, threaded on two guide bars B1 and B2, according to the ISO 11676 standard: - bar B1: 1.0/0.1// - bar B2: 1.0/5.5/1.0/3.3// or 1.0/7.7/6.6/7.7// for said second yarn, threaded on the third guide bar B3, according to the ISO 11676 standard: - bar B3: 2.1/5.5/3.4/0.0// for said first yarns, threaded on two guide bars B1 and B2, according to the ISO 11676 standard: - bar B1: 1.0/0.1// - bar B2: 1.0/5.5/1.0/3.3// or 1.0/7.7/6.6/7.7// for said second yarn, threaded on the third guide bar B3, according to the ISO 11676 standard: - bar B3: 2.1/5.5/3.4/0.0// - bar B1: 1.0/0.1// - bar B2: 1.0/5.5/1.0/3.3// or 1.0/7.7/6.6/7.7// for said second yarn, threaded on the third guide bar B3, according to the ISO 11676 standard: - bar B3: 2.1/5.5/3.4/0.0// - b) cutting, by melting, of said loops, each loop generating two barbs.