A lid for a liquid container has a lid wall with a perimeter, a top side surface, and an underside surface. The lid has an anti-glug device carried on the lid wall and positioned to coincide with a dispensing orifice in the lid wall. The anti-glug device has a channel that partly circumferentially surrounds the dispensing orifice. Terminal ends of the channel define a circumferential gap therebetween. One or more air vents are formed axially through a part of the channel and are disposed circumferentially opposite the circumferential gap.