David Moyes's men were beaten 1-0 at home on Wednesday as the former Everton boss tasted defeat against his old club.
The loss left United in ninth place and, while Pardew dismissed talk of a crisis at the defending champions, he anticipates a backlash.
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"It'll make for a game that is quite pressurised and therefore we need to have calm heads and hopefully we can retain the ball better than we did at Swansea.
"[United] had gone 12 games unbeaten up until that game so it's not like there is a crisis there. They've lost a game, which anybody can do in the Premiership at the moment.
"Their reaction is going to be a little bit larger than ours."
Following the defeat, however, Pardew suspects that the Red Devils will be under pressure to turn it around and is eager for his troops to "capitalise" with a first victory at Old Trafford since February 1972.
"There'll be a bit of pressure on them and we've got try capitalise on that and make it difficult for them," he remarked. "If we can do that and get in the last period of the game, we could try and reverse a statistic that is Newcastle winning at Manchester United."