Module (400a, 400b) for connecting a nozzle zone of at least one pipe, comprising: - a connection device having a body having a tubular shape, comprising at least one junction zone configured to receive the nozzle zone of the at least one pipe via fitting onto an outer surface of the junction zone, - at least one clamping device comprising a clamping collar suitable for being positioned around an outer surface of said nozzle zone and configured to clamp said nozzle zone suitable for being positioned around the junction zone of the connection device, in which module (400a, 400b): - the clamping collar comprises two junction ends (221a, 221b) respectively having a non-rectilinear profile, the two profiles of the junction ends (221a, 221b) having complementary shapes, the junction ends (221a, 221b) each comprising a distal surface (405a, 405b) and a proximal surface (406a, SP), each of the two surfaces of which end in an edge of one of the junction ends (221a, 221b) along their non-rectilinear profile, the distal surface of each of the junction ends being covered by the proximal surface of the other junction end in a closed state of the clamping collar; - the non-rectilinear profiles of the junction ends (221a, 221b) each comprise, along a width dimension of the clamping collar, a first rectilinear segment (401a, 401b), a second rectilinear segment (402a, 402b) in parallel to the first rectilinear segment (401a, 401b), and an offset (403a, 403b) connecting the first and second rectilinear segment (401a, 402a; 401b, 402b); characterised by the fact that the sum of the length of the first rectilinear segment (401a, 401b) and the length of the second rectilinear segment (402a, 402b) is approximately equal to the width of the clamping collar. - a connection device having a body having a tubular shape, comprising at least one junction zone configured to receive the nozzle zone of the at least one pipe via fitting onto an outer surface of the junction zone, - at least one clamping device comprising a clamping collar suitable for being positioned around an outer surface of said nozzle zone and configured to clamp said nozzle zone suitable for being positioned around the junction zone of the connection device, in which module (400a, 400b): - the clamping collar comprises two junction ends (221a, 221b) respectively having a non-rectilinear profile, the two profiles of the junction ends (221a, 221b) having complementary shapes, the junction ends (221a, 221b) each comprising a distal surface (405a, 405b) and a proximal surface (406a, SP), each of the two surfaces of which end in an edge of one of the junction ends (221a, 221b) along their non-rectilinear profile, the distal surface of each of the junction ends being covered by the proximal surface of the other junction end in a closed state of the clamping collar; - the non-rectilinear profiles of the junction ends (221a, 221b) each comprise, along a width dimension of the clamping collar, a first rectilinear segment (401a, 401b), a second rectilinear segment (402a, 402b) in parallel to the first rectilinear segment (401a, 401b), and an offset (403a, 403b) connecting the first and second rectilinear segment (401a, 402a; 401b, 402b);