Seedlings look fine. Damp off would have mushy stems and plants would fall over and die.

It is not showing up well, but there is kind of a green moss starting to grow on the upper portion of the soil in the container. All of the damp off horror stories have me nervous.

Jeff

That is algae. It implies that the surface is a bit too wet but the seedlings are fine. You could carefully stir up the surface a bit with a table fork to let in a bit more air if you want to. But if there are more basil seeds to germinate yet you need to be careful.