Abstract: Electronic devices may be provided with conductive structures such as displays and conductive housing walls. Conductive gaskets may be used to form electrical paths between opposing conductive structures in an electronic device. The conductive gaskets may be formed from conductive sheets of material such as conductive fabric sheets. The conductive fabric or other conductive sheets may form conductive gasket wall structures that extend around air-filled cavities in the conductive gaskets. A conductive gasket may have an elongated shape such as a tubular shape that is characterized by a longitudinal axis. The longitudinal axis may follow a straight path or a curved path. To facilitate bending of a hollow conductive gasket to follow a curved path, the wall structures of the gasket may be provided with openings. Cables may be held in place using flaps of gasket wall material and may run through interior portions of a hollow gasket.