The invention concerns a method for depositing a coating of a first metal alloy on a fibre (10) extending in main direction D, comprising the following steps: (a) Providing a first mass (20) of a first metal alloy and heating the first mass (20) higher than the melting temperature of same so that said alloy is liquid and occupies space El, (b) Moving this fibre (10) from upstream to downstream through the first liquid mass (20) in the direction in which the fibre (10) extends at first speed VI such that the fibre (10) is covered, on at least one portion of the length of same, with a coating (25) of the first alloy of a non-zero thickness over the entire periphery of same in a plane perpendicular to main direction D. Before step (a), the following steps are carried out: (i) Providing a second mass (220) of a second metal alloy of which melting temperature TF2 is strictly higher than melting temperature TF1 of the first alloy, (j) Heating the second mass (220) higher than the melting temperature of same so that said second alloy is in the liquid state and occupies space E2, then moving the fibre (10) from upstream to downstream through the second alloy, this movement being carried out at second speed V2 which is such that the coating speed of the second alloy during this movement is in the visco-capillary range, such that the fibre (10) is covered on this portion of the length of same with a coating (225) of the second alloy of a non-zero thickness over the entire periphery of same, (k) Cooling this coating (225) until it becomes solid.