McDermott was content with the point and delighted with the attitude of his players.
He said: "We've had a couple of opportunities and maybe a little bit more quality at the death we might have got the win but this is never an easy place to come to. Chelsea have proved that and Everton, they're both good sides and they got the same draw as us.
"I was proud of our players today. Everyone was talking about the Arsenal game. I analysed that game, I know what happened, and some of our football was excellent to go 4-0 up, and at times we were very good today.
"We all dug in and there's no disappointment in our dressing room today. We've got a point and we move on."