Leeds went down 2-0 to the Magpies in the Capital One Cup third round at St James' Park on Wednesday night and although he was disappointed with the loss, McDermott said it was a great moment when the two sets of fans sang for ex-Wales manager Speed who had lengthy spells at both clubs.
"I was really impressed with the two sets of fans - that Gary Speed moment was one of the highlights of the season," said McDermott.
On the match, he added: "Their [first] goal (scored by Papiss Cisse), from their point of view, was a little bit of quality on the left-hand side and maybe we needed to do better in that situation, but it was a good header, and their second goal (Yoan Gouffran) was a great finish.
"Having said that, at 1-0 Matt Smith was bundled over in the penalty area and I think because he is a big lad, the ref didn't give it. But it was a certain penalty, there's no doubt about that."