An inkjet printhead includes: a rigid elongate manifold having one or more ink supply channels extending along its length, each ink supply channel having a base defining a plurality of ink outlets and a roof comprising an elongate flexible film; and a plurality of printhead chips mounted to the manifold, each printhead chip receiving ink from one or more of the ink outlets The flexible film includes a plurality of operatively independent bellows positioned along a length of one or more ink supply channels.