Interim coach Rafael Benitez has had a hard time of winning over the Stamford Bridge faithful, while the team's form has been patchy in recent weeks.
They were also held to a 2-2 draw at Brentford in the FA Cup.
"Just recently, a little bit of pressure has fallen their way because of a few draws, when they have actually looked like they were going to win games," Pardew told reporters.
"Sometimes you play really well but can't get over the line and get a win, and I think that's where they are at.
"They will be searching for that against us, and I am hoping that we can stay in the game and they get edgy towards the end and we see a victory out."
The Magpies are four points clear of the Premier League drop zone.