The invention pertains to an infusion system (1) comprising a set of pouches comprising at least one first pouch (2) and a second pouch (3), said first pouch (2) containing or intended to contain a first solution, said first pouch (2) having at least one first intake tube (4) forming an intake orifice and a second output tube (5) forming an output orifice, said first and second tubes each being arranged in an edge gasket (6) of said pouch, and said second pouch (3) containing or intended to contain a second solution a connection device (10) placing or intended to place in fluid communication the first pouch (2) with its intake tube (4) and the second pouch (3) said edge gasket (6) comprising an extension (13) protruding towards the interior of said first pouch (2) so as to redirect the flow of the second solution coming from the second pouch (3) from the direct flow path between the intake tube (4) and output tube (5).