The Royals are currently in 19th place in the Premier League table and are without a win from their opening seven matches.
"I cannot affect speculation and who says what," said McDermott.
"All I know is I've got great staff, my director of football is fantastic and I've got a great bunch of players who do the best they can on a Saturday afternoon.
"What more can we do? That's it as far as I'm concerned."
Reading welcome Fulham to the Madejski Stadium on Saturday afternoon.