The Gunners would secure a top-four finish with victory at St James' Park.
Indeed, depending on Chelsea's result at home to Everton, they still have an outside chance of snatching third place and with it automatic entry into the Champions League - or even forcing an unprecedented play-off, set for May 26 at Villa Park, were the two clubs' overall statistics to finish equal.
However, should Wenger's side slip up against the Magpies, who are now safe from the threat of relegation after FA Cup winners Wigan were sent down following a 4-1 defeat at Arsenal on Tuesday night, then Tottenham could leapfrog them by beating Sunderland.
Having fought so hard through a superb nine-match unbeaten league run to stand on the brink of what, given the circumstances of earlier in the campaign, would be a quite remarkable turnaround, Wenger expects his side to hold their nerve when it matters most.
"We know how to behave to win the games, so it's (about getting) that certainty from our long run and bringing that into our next game. It's as simple as that," the Arsenal manager said.
"It is a football match and recently we have shown that we can win these games.
"We will just continue to do what we did until now."