A conduit structure 44 connects subsea oil wells to a floating structure 12 such as a vessel, in shallow water, the conduit structure providing a low cost and reliable fluid connection during drift of the vessel. The conduit structure includes a seafloor riser support 50 with a lower end 52 fixed to the seafloor and an upper end 54 lying a plurality of meters above the seafloor. A flexible pipe or hose 46 extends in a double catenary curve from the top of the seafloor riser support, at a downward incline away from the seafloor riser support and then at an upward incline to the floating structure. A rigid pipe 70 can extend along a plurality of meters of the height of the riser support to minimize the required length of flexible hose and facilitate installation.