Capsule for the preparation of a beverage in a beverage machine comprising an enclosure (20) containing one or more beverage ingredients, a filtering wall (22) delimiting at least one filtering side of the enclosure, wherein the capsule further comprises an overflow wall (3B) that is positioned in the path of the brewed liquid after the filtering wall and which comprises at least one overflow aperture or is associated with at least one puncture means (8A, 8B) or, respectively, puncture indication means capable of producing or, respectively, indicating at least one overflow aperture. The capsule of the invention is designed for delivering a brewed liquid at relatively low pressure and is more particularly suited for tea beverages.