The Barclays Premier League Magpies entertain McDermott's Sky Bet Championship team in the third round at St James' Park on Wednesday night with Pardew still fuming over Saturday's capitulation against Hull.
It was he who gave the current Leeds manager his big chance during his time in charge at Reading, but he is in no mood to hand out any more favours.
Pardew, whose side lost 3-2 to the Tigers despite twice taking the lead, said: "I am still livid about that result, so make no mistake, we are going to be at the races on Wednesday night.
"As far as I am concerned, I'm so disappointed about Saturday, I can't begin to tell you.
"It hurts me to even talk about it even now two days later. We got ourselves in a great position to be able to get into the top four of the Premier League on Saturday night.
"That doesn't come around often, and it might not come around in this season again, so that's how disappointed I am and we need to put that right."
Pardew was happy enough with his side's attacking efforts at the weekend with Loic Remy scoring twice before the break.
However, he was less than impressed with the defending which allowed first Robbie Brady and then Ahmed Elmohamady to equalise before Sone Aluko won it.
Pardew said: "We are trying to have a little bit more of an offensive look to us, and that isn't going to change, I hope.
"But we are going to have to be better defensively as a team than we were on Saturday if we are going to play the amount of offensive players and have the offensive look that I want to the team.
"There's a balance to be had, so that's what we are searching for."
Academy graduates Paul Dummett and Sammy Ameobi will both start for Newcastle, as will Ivory Coast midfielder Cheick Tiote, and Pardew is adamant he will field a strong side.
He counts McDermott, whom he recruited to his Reading coaching team, among his friends, but there will be no love lost on Wednesday night.
The 52-year-old said "For Leeds - I know the manager well, he is a friend of mine - and their staff, they have had a tricky run and for them, this is a big game.
"It puts them back in the spotlight. They are a fantastic club, they have a history as good as ours.
"It's a Premier League club that's outside of it at the moment, and I hope Brian McDermott gets them back.
"But on this particular night, obviously we want to put them out."