The Magpies are hoping to attract a bumper crowd to St James' Park for their Europa League second-leg clash with Anzhi Makhachkala with a place in the quarter-finals at stake.
However, Pardew is hoping there will be no repeat of incidents earlier in the campaign which have seen the club fined by UEFA.
He said: "It's wise that those new fans who perhaps can get in for this game control themselves.
"We have had a few flares on the pitch and stuff that we can't have.
"But if they can make the noise and get behind us like they have in those ties in a greater number - which they will be in this game - then it's going to make it very, very difficult for the opposition."
Newcastle have reduced prices to £15 for adults and £5 for children and are expecting a crowd in excess of 40,000.
But they are desperate to avoid any repeat of the incidents in which streakers twice made their way on to the pitch at St James' earlier in the competition, for which the club has been fined, while they are awaiting the outcome of further action over an incident in which a smoke canister was activated during last month's 0-0 draw with Metalist Kharkiv.