A bite valve for controlling fluid flow from a fluid source includes a sleeve and a hollow valve core. The sleeve includes an outlet end and an opposite, a sleeve outer surface and an opposing sleeve inner surface, and an outlet lip. The core includes a core body including distal and inlet ends. The core includes an inlet defining a flow channel. The core includes a core central chamber and the flow channel extending to the central chamber. The core includes an annular chamber formed about the core body within the sleeve inner surface. The core includes flow ports disposed radially about the core body. The core includes an outer rim that is cooperatively sized and configured with the outlet lip with the outer rim in sealing engagement with the outlet lip and out of sealing engagement when the sleeve deformed towards the core body for discharging fluid flow.