A pump for removing fluid from a floor covering includes a piston chamber, a piston disposed within the piston chamber, a nozzle plate for pressing against the floor covering and having a plurality of nozzles extending therefrom, a reservoir for storing fluid removed from the floor covering, and a diverting valve having an interior. The diverting valve defines a first fluid flow path, a second fluid flow path, and a third fluid flow path. A method of removing fluid from a floor covering includes causing a piston to move in a first direction within a piston chamber, drawing fluid through a plurality of nozzles of a nozzle plate and into the piston chamber, causing the piston to move in a second direction within the piston chamber, and pushing fluid from the piston chamber and into a reservoir extending circumferentially around the piston chamber.