An assembly for transferring fluids between a vessel and a turret structure mounted in said vessel for a rotation around a substantially vertical turret axis is provided. Said turret structure comprises a swivel having at least one fluid outlet which is connected with one end of a fluid piping of which the second end is connected to the vessel. The assembly further comprises a flexible bridge member connecting a part of the turret structure with the vessel. The rotation of said part of the turret structure around the turret axis is substantially locked to the rotation of the vessel while a relative displacement between said part of the turret structure and the vessel or the structure fixed to the vessel is allowed. Said bridge member supports the fluid piping to substantially take away the loads from the fluid piping on the said swivel and its outlets.