That's exactly what he does.

Usually he sheepishly accepts with a soft jaw and walks over to his spot under the kitchen table where he'll lick it and savor it for a bit before he chomps down and eats the whole thing, and he's usually pretty good about cleaning up after himself.

But sometimes he takes it to-go, and starts chewing while he walks away.

That's when there's trouble. He's not very good at walking and chewing eggs at the same time.