A valve system is provided that includes a valve connector that has a portion of a first passageway. The valve connector includes a suction port and an introduction port that are spaced apart and in substantially parallel alignment. The suction port and the introduction port are manipulable to establish fluid communication between the portion of the first passageway and the suction port or the introduction port. The valve connector may have a rotatable outer cap that includes the suction port and the introduction port. The cap being configured to facilitate manipulation of the suction port and the introduction port for establishing fluid communication with the portion of the first passageway. The introduction port may include a normally closed valve. The valve connector may be attached to a dual lumen nasogastric tube. In an alternate embodiment, the valve connector further includes a portion of a second passageway that includes a relief port. The relief port can include a one-way valve.