The invention relates to a blood line (108) comprising an infusion site (145)intended to inject into the line a solution, comprising: - a first main channel(200) having a first passage section, - a second main channel (220) having a secondpassage section, - means for the formation (210) of a turbulence area locateddownstream from the first main channel, located upstream from the second mainchannel, these formation means comprising a first fluid passage means (224)defining a reduction (225) in the passage section and whose smallest passagesection is smaller than the first passage section and smaller than the secondfluid passage section, - a secondary channel (230) comprising an inlet (231)for letting in the solution and an outlet (232) in fluid communication with thefirst main channel or the means for the formation of a turbulence area or the secondmain channel.