I had pinkeye beginning a week before birth and lasting until 3 weeks after. When DS got a goopy eye at about a week old, I thought he caught it.
This is what I did:
Brew a cup of plain black tea. Let it get lukewarm. Put some on a soft, thin cloth. Wipe around the eye (lids, lashes, corners). Then, express some breast milk into a container. Lay the baby on his/her back. Drip a few drops off of your fingertips into the eye. Let him/her stay like that a few minutes because the milk will run out of the eye. Don't waste the cup of tea! Add some ice cubes, or some fresh boiled water, to get a more pleasant temp.
You may want to do this just to be extra careful. It is so non-invasive. It doesn't feel like anything. I did it to myself before trying on DS. When I had time to do it for myself (I am lucky to wash my hair once a week), my pinkeye got a little better each time. DS was so cute looking up at me through an eye full of milk as if there was nothing there! Too bad I didn't have a camera at the time.
Leigh, mama to Rostislav homeborn Aug 9 2007, and Oksana homeborn Feb 24 2011.