Abstract: Metal cord (C-1) with three layers (C1, C2, C3), which is rubberized in situ, comprising a core or first layer (10, C1) of diameter d1, around which there are wound together in a helix at a pitch p2, in a second layer (C2), N wires (11) of diameter d2, N varying from 5 to 7, around which there are wound together in a helix at a pitch p3, in a third layer (C3), P wires (12) of diameter d3, the said cord being characterized in that it has the following characteristics (d1, d2, d3, p2 and p3 being expressed in mm): 0.08?d1?0.40; 0.08?d2?0.35; 0.08?d3?0.35; 5?(d1+d2)<p2?p3<10?(d1+2d2+d3); over any 2 cm length of cord, a rubber composition called “filling rubber” (13) is present in each of the capillaries (14) lying on the one hand between the core (C1) and the N wires of the second layer (C2), and on the other hand between the N wires of the second layer (C2) and the P wires of the third layer (C3); the content of filling rubber in the cord is comprised between 5 and 30 mg per gram of cord.