The Royals were denied their first win of the Premier League season on Saturday by a late Newcastle equaliser which clearly went in off the arm of Demba Ba, as the striker admitted after the game.
And, according to McDermott, match officials have told his staff that the decision did not go their way due to a lack of complaints from the Reading players - and not for the first time this season.
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"My concern slightly, or more than slightly, is the conversations with two people now; the match delegate at the Chelsea game said that my players didn't appeal for the [Fernando] Torres offside goal and the fourth official said to my goalkeeping coach that only two of my players appealed [against Newcastle].
"For me it is very difficult to take that, what are we asking? If we appeal for every decision we might get one or two?
"The last thing we want is for our players to start trying to referee the game, we have to let the referee and the assistant referees get on with their job and that is what we are trying to do.
"So that is the concern for me, the two separate things that have been said to me."