The present invention relates to a novel type of tubular insert for connecting an extra-corporeal circuit to a peristaltic pump. This tubular insert comprises a loop formed by a tube portion; the loop comprises a curve which extends around an axis X. The tube which forms the curve has an oval cross-section with a major axis M and a minor axis m perpendicular to each other, where the major axis M is longer than the minor axis m. Finally, in the tubular insert according to the invention, the minor axis m of each cross-section of the tube along the curve is parallel to the axis X The invention further relates to a method for producing the tubular insert and to a peristaltic pump suitable for operating with tubular inserts according both to the invention and to the prior art.