A piggable fluid swivel comprising a first element on which a second element is rotatably mounted. Grooves in both the first and second elements align to form a continuous flow passage between the elements. Openings are provided through the first and second elements and into the flow passage whereby fluid can enter through one element, flow through at least a portion of the flow passage, and then exit through the other element. A flow barrier means similar to a gate valve is provided on one of the elements and includes a baffle plate that is extendable between an open position and a closed position. In an open position, the elements can be easily assembled and disassembled. In a closed position, the baffle plate blocks backflow in the fluid passage which allows pressure to build behind any pig that may become stuck in the flow passage to free the pig and carry it from the swivel. The swivel may be coaxially stacked to provide a multiline piggable fluid swivel.