An ophthalmic surgical cassette acts with a peristaltic pump having a wheel defining a periphery and includes a cassette body having a first recess which, in cross section, has a circle segment shape defining a circular arc. The first recess permits the wheel of the peristaltic pump to engage therein. An aspiration line transports aspirated fluid via the pump. A second recess along the circular arc of the circle segment shape has a wall forming a fluid channel. The fluid channel has a first end connected to the aspiration line and a second end connected to a collection container supply line. An elastic cover covers the channel and is held to ensure a constant spacing of the cover to the second recess to permit fluid from the aspiration line to be transported through the channel to the container supply line via the wheel acting on the cover.