Keown thinks there is little point in discussing the Arsenal manager's future right now.
But pressure has emerged on the Frenchman in the past few days. Despite being handily placed in the league table - in fourth and just the three points off the top - the side is facing an early exit from the Champions League at the group stage having lost both of their opening two matches, with Olympiakos pulling off a stunning victory on Tuesday night at Emirates Stadium.
In his Tackle Keown column, the former defender turned pundit said: "I think we're all wasting energy discussing it. He's the manager for the next two seasons, and I fully expect him to see it through. He'll obviously have to assess his position after next season, but when I last spoke to him I didn't detect any waning in his determination to carry on.
"Wenger is a very stable, well-balanced manager. I imagine he'd be shocked and surprised by what happened on Tuesday night as he believes wholeheartedly in his players. Right now he will be looking at what games Arsenal have coming up – Manchester United, Everton, Tottenham and two games against Bayern Munich will stick out – and look at his squad and make decisions. You can't use the same XI in every game, and like in any workplace you give the jobs to the people you believe in.
"Maybe he was guilty of overestimating how good some of his players are, but you can be sure he won't change his philosophy after a couple of bad games."
Wenger will be hoping for an instant return to winning ways when his side take on Manchester United on Sunday afternoon, meaning there will be something to be very positive about going into the international break.
There have been various points during Wenger's reign in north London when he has come in for criticism, though that appears to have subsided a little during the past couple of seasons as he ended a nine-year wait for a trophy with back-to-back FA Cup triumphs.
It should also be noted that Arsenal haven't been the only side that has struggled in their European campaign so far, but they are the only side from the Premier League who have yet to register a point, when they were arguably expected to pick up six from their opening two games.
But as far as pressure on the Frenchman is concerned, he appears to be in a happier place now than he has been at more complicated stages of the recent past. Within striking distance of the summit, despite a disappointing opening day defeat to West Ham United, and making progress in domestic cup competition is not a bad place to be in.