The present invention relates to a syringe (20) defining a reservoir (21) for containing a liquid and comprising an end-piece (10) encompassing a channel (11) providing a passageway for the transfer of the said liquid, characterized in that the said channel (11) comprises two portions, a first portion (12) and a second portion (13), the said first portion (12) extending from the free distal end (14) of the end-piece (10) in the direction of the reservoir (21), and the said second portion (12) extending between the first portion (12) of the channel (11) and the proximal end (15) of the end-piece (10) and connecting the said first portion (12) to the reservoir, the said first portion (12) having an average diameter that is greater than the average diameter of the said second portion (13).