The perfusion pouch is made with at least two compartments one compartment (1) containing a medication in the form of a solution, and one or more others (2) containing a solute for rinsing both the medication compartment (1) and the perfusion line (10) once the compartment is emptied. The pouch has a system (6) for connecting/separating the compartments, allowing the rinsing solute to penetrate the medication compartment automatically by the effect of a depression created by the height of the column of water in the perfusion line when the medication compartment is empty. The connecting/separating system can be in the form of a valve, a grained surface or a thermoformed channel.