The former defender believes it will be the Frenchman who decides when his reign comes to an end and nobody else.
The long-serving Gunners boss found himself falling under ever-increasing pressure at the Emirates during a long-running trophy drought, before last season’s FA Cup triumph helped to turn the tide.
However, with Borussia Dortmund manager Jurgen Klopp revealing on Wednesday that he will leave the club at the end of the season, speculation surrounding about Wenger’s future may be about to build once more.
Keown, though, says he will be at the club for at least another two years and it will be him who decides to call it a day.
“Wenger will be there for another two years,” he said.
“He deserves the chance to finish off the job he started, even if it’s a bad season next year. He won’t be asked to leave. He decides when he leaves the club.”
Arsenal last won the title in 2004 and have not really challenged since, with it being widely accepted at the club that fourth place was a suitable achievement.
They have not been in the title race this season either, although their current run of form has seen them rise to second behind leaders Chelsea. Keown, though, believes that the Frenchman will be keen to finish off the job properly by winning the title once again.
“Wenger will want to finish the job off and win the league,” he added.
“Coming towards the end of his time will concentrate the mind, and his group is more mature. They haven’t been in the hunt this year [though], Chelsea have been way ahead and nobody else was going to win it.”