Drinking vessels have an elongated container body joined with a closure body having a dispensing orifice and a vent orifice, each in fluid-passing communication with the interior of the container body. A closure arm is rotatably mounted near one end of it and has at least two sealing members spaced from each other along the length of the closure arm, one of the sealing members opening and closing the vent opening while another of the sealing members opens and closes the vent opening while another of the sealing members opens and closes the dispensing orifice when the closure arm is rotated between its open and closed positions. At least the sealing member for the vent orifice has an elastomeric surface that sealingly engages a surface at the vent orifice when at the closed position. Elastic surfaces can instead or in addition be provided at the vent orifice surface or one or both opposing surfaces of the dispensing area.