This catheter (34) comprises a tubular catheter body (38) defining a longitudinal channel (52), the distal end (48) of the catheter body (38) being closed, and the channel (52) opening out through a single side orifice (50) onto an external surface (44) of a side wall (42) of the catheter body (38) at a distance from this distal end (48). The channel (52) includes a curved distal end segment (54) and has a substantially constant diameter (Dint) along the entire length thereof.