A conveying unit is designed and configured for automatically conveying fillet-like meat products, in particular fish fillets. The conveying unit has a first conveying element rotationally driven by a drive and a second conveying element rotationally driven by a drive, in transport direction of the meat products to be conveyed. The second conveying element is downstream of the first conveying element. The two conveying elements form a continuous transport path, along which different processing stations may be arranged. The first conveying element is a double belt with a gap running centrally and parallel to the transport direction, while the second conveying element is a segment chain which is triangular in cross-section. A method is also disclosed.