There are some among Arsenal's disgruntled fanbase who would like it to be sooner. Arsenal haven't won a major trophy for nine years now, and some feel the club has become inexcusably stagnant under Wenger.
Even those who support the manager recognise that he won't last forever. Wenger is 63 now, and his current deal expires in 2014. Ivan Gazidis and the rest of the board must start to plan for life without the iconic Frenchman.
If they could convince him to leave his beloved Dortmund, Jurgen Klopp would be a worthy successor. Go to the next slide to see what the German could offer Arsenal.
Anyone who has seen Jurgen Klopp's Borussia Dortmund side knows they have witnessed one of the most attractive teams in Europe.
Arsene Wenger's reign at Arsenal is characterised by a unique and enviable swashbuckling style. Whoever takes over from Wenger will be expected to build a team laced with attacking flair.
Klopp has already proved his capacity to do that and more. Not only are his Dortmund team beautiful to watch, they're also incredibly hard-working.
Klopp has managed to emulate the Barcelona model of a team that pressurises collectively and high up the field, with spectacular results.
Mario Gotze in action for Dortmund
Arsenal are very proud of their youth academy and would be keen for any new manager to embrace their desire to develop their own players.
Klopp has shown at Dortmund that he shares this philosophy. Academy graduates such as Mario Gotze, Nuri Sahin and Marcel Schmelzer have become key players in his side.
Klopp has the intelligence and vision to be tasked with bringing through the next generation of Arsenal stars.
Shinji Kagawa was one of Jurgen Klopp's many discoveries at Dortmund.
Jurgen Klopp has faced a similar situation in Germany, where he has come up against the economic might of Bayern Munich. Fortunately, he has a magnificent habit of capturing talent at superb prices.
Take Shinji Kagawa, who was transferred from Cerezo Osaka to Borussia Dortmund for just €350,000 in the summer of 2010. Kagawa later moved to Manchester United for a fee believed to be upwards of €17 million.
That same summer, Robert Lewandowski signed for a reported €4.5 million from Polish side Lech Poznan. Lewandowski is now one of Europe's hottest properties. If he moves this year, he could reach double the fee paid for Kagawa.
Few managers have demonstrated such outstanding transfer acumen as Jurgen Klopp.
When Jurgen Klopp took over at Dortmund in 2008, they had just flopped to a 13th-place finish, a mere three points above the relegation zone. Within three years, they were Bundesliga champions.
His first season saw him claim the German cup, beating Bayern in the final. His second saw Dortmund climb to a creditable fifth-place. in 2011, they shocked the nation by finishing top.
It was no fluke, as Klopp's Dortmund repeated the feat in 2012.
The German has shown that he knows how to end a barren streak by claiming the most glittering prizes.
What do you think? Would Klopp be a worthy successor to Arsene Wenger? Let us know below.