Crystal Palace are currently 10 points clear of Newcastle United who are in 18th spot.
Palace head into their weekend clash with Swansea City having been stuck on 31 points since December, and defeat at the Liberty Stadium could pull them closer to the relegation mire.
Indeed, speaking to reporters, Pardew acknowledged his side’s poor form and says first and foremost the target is to reach 43 points – a figure deemed high enough to all-but guarantee safety.
“We'd be foolish, a club of our size, to assume that we're anything but safe yet. We don't,” Pardew said.
“We have 31 points, we need to find more than 42. Because one of my old teams went down with 42 in the Premier League. It might be one of those years, you never know.
“You look at the league table and you know that those bottom clubs are going to start finding some form and start pushing to save themselves.
“We're one of the clubs in a vulnerable position. We have to have one eye on that situation.”
Palace’s last league victory came in a 2-1 triumph at Stoke City on December 19th, some seven weeks ago.
Since then Pardew’s side have managed to score just twice in seven outings, a factor which has evidently hindered their chances of putting more points on the board.
Emmanuel Adebayor has joined the club to help boost the Eagles’ firepower, yet it could be some time before the former Togo international hits the ground running and breaks into the first-team.
Newcastle are currently 10 points behind Palace, yet without a change in form that gap will only shorten ahead of a potential crunch relegation encounter at St. James’ Park at the end of April.