A dramatic 2-1 victory over Stoke at St James' Park eased the Magpies nine points clear of the bottom three with nine games to play, and left Pardew able to target Thursday night's clash with Anzhi Makhachkala and a place in the quarter-finals.
Defeat may have given him pause for thought ahead of a weekend meeting with Wigan.
The 51-year-old said: "To be honest, I think we are done. You have got to get 40 points, of course, but we are now seven points from that with nine games left, and you would expect this team to follow through with the standard it has got now to be able to do that.
"But the bigger picture is to finish strongly like Everton [last season] and take it into next year, and we are showing some good signs in terms of doing that.
"We are looking no further than Thursday night because we could have a really special night here on Thursday now.
"We have got a great opportunity in that competition. We are in the last 16 in Europe.
"We have had to battle through too many games - that competition is too many games for a Premier League team, I'm never going to change my opinion on that.
"But we are down to the real nitty-gritty now. We have got a real quality team coming on Thursday and our fans are well-educated enough to know that it will be tough for us and we are going to need every one of them in here to make the atmosphere such that we squeeze through."
Squeeze through is pretty much what the Magpies did to record their fourth league victory in six attempts after Jonathan Walters had fired Stoke ahead against the run of play from the penalty spot with 67 minutes gone.
Having dominated much of what had gone before, the Magpies refused to accept defeat and hit back within six minutes when Yohan Cabaye curled home a delicious free-kick off the underside of the crossbar.
But there was further drama to come and Newcastle won it deep into injury time when Papiss Cisse, who had otherwise endured an indifferent afternoon, ran on to substitute Sylvain Marveaux's pass and, having beaten the offside trap, slotted the winner past keeper Asmir Begovic.
Pardew said: "Papiss, I think, would be the first to tell you he was awful today [Sunday]. He didn't do anything, really, to influence other than doing well on some defensive issues for us.
"But then the moment comes. It's an eye-of-the-needle pass from Marveaux, which he has [in his game]. The ball pops up and most strikers would snatch at that.
"But he let it come all the way down and finished it and in the 92nd minute, that's not easy to do, trust me."
Stoke boss Tony Pulis believes his side should have been awarded a penalty for Davide Santon's first-half challenge on Ryan Shotton - though the incident happened outside the area.
Perhaps with more justification, he suggested that Cisse might have been sent off for an altercation with Marc Wilson and Ryan Shawcross.
He said: "We are desperately disappointed. We could have had a penalty in the first half; the incident where Cisse was involved with Ryan and Willo - on another day, something could have happened with him and he might not even have been on the pitch.
"The referee deemed that it was alright. Fine, if he's still on the pitch, we should defend better.
"But I am disappointed, absolutely distraught with the result, but the performance and the effort and the commitment of the players was absolutely first-class."