The medical device (10) comprises a non-woven body (12) comprising non-resorbable fibers devoid of oxidized cellulose and resorbable fibers containing oxidized cellulose. A part of the non-resorbable fibers is assembled with the resorbable fibers for forming a braid, woven or knitted yarn to produce the body. The device is intended to be in contact with a tissue of a patient. The resorbable fibers form a first yarn, and the non-resorbable fibers form a second yarn, where the yarns are braid, woven or knitted yarns. The non-woven body is oriented along a preferred direction. The medical device (10) comprises a non-woven body (12) comprising non-resorbable fibers devoid of oxidized cellulose and resorbable fibers containing oxidized cellulose. A part of the non-resorbable fibers is assembled with the resorbable fibers for forming a braid, woven or knitted yarn to produce the body. The device is intended to be in contact with a tissue of a patient. The resorbable fibers form a first yarn, and the non-resorbable fibers form a second yarn, where the yarns are braid, woven or knitted yarns. The non-woven body is oriented along a preferred direction. The non-resorbable fibers consist of synthetic polymers, and natural polymers devoid of oxidized cellulose. The resorbable fibers include carboxyl group having 6C of an anhydroglucose unit, where the carboxyl group is functionalized with a functional group. The body forms a tube or sheet and/or delimits a liquid-tight wall (14) sealed in blood. An independent claim is included for a process for manufacturing a medical device.Ce dispositif comprend un corps (12) comportant des fibres dépourvues de cellulose oxydée non résorbables. Le corps (12) comporte également des fibres contenant de la cellulose oxydée résorbables.