Swollen eye

Crystal
For the last two days, my baby's eye has been swollen. The whites of the eye are not red at all, so I do not think it is conjunctivitis. I'm going to call my doctor tomorrow, but any thoughts? He has had a lot of discharge in both eyes but especially in the one that is swollen for the last couple of weeks. I have to use a warm washcloth and wipe his eyes constantly.