The present invention relates to a double connector (24) for a tubular insert (22) intended to connect an extra-corporeal circuit (20) to a peristaltic pump (18). The double connector comprises: a first channel (30) with an axis a u a second channel (32) with an axis «2 not parallel to a , a pressure chamber (34) arranged along the first channel (30) and suitable for co-operation with a pressure sensor (16). The pressure chamber is closed, on the opposite side with respect to the second channel (32), by a membrane (36) which extends mainly in a plane p substantially parallel to both the axes a and a2. Moreover, a straight line r, passing through both axes a and <;¾ and perpendicular thereto, crosses the membrane. The invention also relates to a tubular insert (22) comprising the double connector (24) and an extra-corporeal circuit (20) comprising the tubular insert.