A drug delivery device (10) comprising a drug reservoir (13), at least one dispensing hole (14), an actuator system (17) and an exit path (15). The drug reservoir (13) is provided for comprising a drug. The dispensing hole (14) delivers the drug to an environment of the drug delivery device (10) when the actuator system (17) pushes the drug from the drug reservoir (13) through the dispensing hole (14). The exit path (15) couples the drug reservoir (13) to the dispensing hole (14). The exit path (15) comprises at least one entry point (16) for coupling the exit path (15) to the drug reservoir (13) and is arranged in such a way that for any possible orientation of the drug delivery device (10) at least a part of the exit path (15) is situated above the gravity center of said drug reservoir or below the dispensing hole (14).