Non-dispersive process for oil recovery

A method of recovering one or more insoluble oils from a liquid source using one or more membrane or membrane contactors, comprising the steps of: pumping the liquid source comprising the one or more oils to the membranes or membrane contactors, contacting the liquid source with a first surface of the membrane or membrane contactors, coalescing the one or more oils within the liquid source onto the first surface of the membrane contactors, pumping one or more recovery fluids through the membrane or membrane contactors in contact with the second surface of the membrane or membrane contactors, and removing a first stream of oil coalesced from the second surface of the membranes or membrane contactors.