There is a need to reduce raw materials used in the manufacturing of wet mops, to reduce the weight of the wet mop which will decrease user fatigue and related injuries and to address the difficulty of attaching standard wet mops to commonly used mop handles. The improvement is a tubular headband wet mop with yarn strands on only one side of the headband, reducing the amount of unused yarn incorporated into the wet mop while not reducing floor surface coverage area. The tubular headband also eliminates the possibility of exposing the bottom side of the mop handle which can damage or mar the floor surface, coatings and finishes. This reduction in raw materials results in a lighter product, which reduces effort required to lift and wring out the wet mop, and reduces fatigue and injuries associated with mopping.