The Frenchman is out of contract at the Emirates at the end of the campaign as he prepares for the final Premier League game of the season against Everton, with a hope to finish in the top-four for the 21st consecutive season.
"I don't know (what will happen in the meeting)," Wenger told a news conference on Friday.
"There are many aspects of a football club which has to be discussed at a board meeting.
"One of those is what happens with the manager, the players coming in, contract renewals.
"The most important thing is to win the football game. What happens to me after that is less important."
When asked whether a decision will be announced shortly after the FA Cup final, he replied, "Of course."
The North London club are relying on an upset to secure Champions League qualification. They are sitting fifth, one point behind fourth-placed Liverpool and three behind third-placed Manchester City.
Liverpool host already-relegated Middlesbrough and Manchester City travel to Watford who languish 16th in the standings.
Arsenal have won their past four league games and Wenger expected his side to focus on their own performance ahead of the final weekend of the season.
"We just want everybody to play 100 per cent in last game as is the tradition in England." Wenger added.
"We have to do our job, we are professionals. We are on a good run and that's all we can do."
Midfielder Aaron Ramsey has recovered in time for the weekend's clash while Alex Oxlade-Chamberlain remains on the sidelines with an hamstring injury.
Wenger said he was yet to make a decision on the availability of defender Laurent Koscielny, who missed the last game with an Achilles injury.
At the conclusion of the Premier League season, Wenger will then prepare his players for a third FA Cup final in five years.
As well as facing supporter protests during the season, Wenger has found an increased criticism from a host of his former Gunners players.
The likes of Thierry Henry, Lee Dixon, Martin Keown, Ian Wright and Paul Merson have all questioned whether he should go on beyond his current contract.
Former captain Tony Adams, currently managing relegated LaLiga outfit Granada, is the latest to speak out.
"Back in the day I said in an interview coaching wasn't Arsene's strong point," he wrote in a new autobiography being serialised in a national newspaper.
"Actually in the original draft, I said he couldn't coach his way out of a paper bag. And though I modified that in the final article it didn't go down well.
"It all left me feeling that I would never get a chance in any capacity while Arsene was there.
"Much as I respected him for his long and successful tenure, my occasional willingness to pass comment on him and the team probably counted against me."
Wenger, however, refused to offer a riposte, brushing off the quotes by replying: "Well, I do not give too much importance to what Tony Adams says. Honestly."