There’s more then one strain of pink eye one of which doesn’t have discharge. It could be an allergy or irritation also, but best to get it checked. I’m a nurse and have a son who recently had pink eye (he also had no discharge) Shoppers sells an eye drop made by Polysporin and its for pink eye it works amazing.
In my experience pink eye has always been goopy & gross along with pink... maybe early pink eye or allergies?
The polysporin drops work & fast!