Blowing lance nozzle intended for bath stirring, comprising: - a central tube for supplying gas , closed at an end turned towards the bath by a first front wall provided with at least two openings , - an internal tube forming with the central tube a first annular cavity for the passage of a cooling liquid and ended at one end turned towards the bath by a second front wall called a separator having a central opening and one passage orifice per opening provided in said first front wall , - an external tube forming with the internal tube a second annular cavity for the passage of the cooling liquid and closed at an end turned towards the bath by a third front wall having one outlet orifice per opening provided in said first front wall and having an internal surface comprising a central area , - a heat exchange space in which the cooling liquid flows, which is located between, on the one hand, said second front wall and said third front wall and, on the other hand, said central opening and said second annular cavity , and - an outlet conduit for the stirring gas, called an injector , leaving each opening in said first front wall and going as far as said corresponding outlet orifice passing through said corresponding passage orifice in a cooling liquid-tight manner, and - a pillar comprising a first end (E1) located opposite the bath and a second end (E2) turned towards the bath linked to the central area of the internal surface of the third front wall , characterised in that the pillar has, between said first and second ends (E1 and E2), a thinned part (I) linked to the central area , which has a predetermined length L1 and an axial section decreasing in such a way that the pillar forms a continuous curved surface with the central area of the inner surface of the third front wall . - a central tube for supplying gas , closed at an end turned towards the bath by a first front wall provided with at least two openings , - an internal tube forming with the central tube a first annular cavity for the passage of a cooling liquid and ended at one end turned towards the bath by a second front wall called a separator having a central opening and one passage orifice per opening provided in said first front wall , - an external tube forming with the internal tube a second annular cavity for the passage of the cooling liquid and closed at an end turned towards the bath by a third front wall having one outlet orifice per opening provided in said first front wall and having an internal surface comprising a central area , - a heat exchange space in which the cooling liquid flows, which is located between, on the one hand, said second front wall and said third front wall and, on the other hand, said central opening and said second annular cavity , and - an outlet conduit for the stirring gas, called an injector , leaving each opening in said first front wall and going as far as said corresponding outlet orifice passing through said corresponding passage orifice in a cooling liquid-tight manner, and - a pillar comprising a first end (E1) located opposite the bath and a second end (E2) turned towards the bath linked to the central area of the internal surface of the third front wall , <EOS>