First, they will need to beat AC Milan, but the Gunners are playing in a bad form recently, losing four consecutive matches in all competitions, against Ostersunds 2-1, Manchester City 3-0 twice, and Brighton 2-1, while they've also lost four out of their last five Premier League tilts.
It's still far from guaranteed Wenger will go before his contract expires, though, but if Arsenal want to avoid dropping even further behind their rivals, they need to make a change this summer.
Sunday's 2-1 defeat to Brighton & Hove Albion means that Arsene Wenger's men have lost four matches in a row for the first time since 2002.
The Gunners keeper saved a good Pascal Gross shot as Brighton threatened again, with Dunk and Duffy both heading over from promising positions as the visiting defence failed to deal with routine set-pieces.
Grob also had a hand in the second goal.
Roger Bannister, Runner Who Broke Four-Minute Mile, Dies at 88
Bannister outlived his 4-minute mile pacemakers: Brasher, who founded the London Marathon , died in 2003 at the age of 74. The Vice-Chancellor, Professor Louise Richardson added: "Roger Bannister epitomised what it means to be a living legend".
According to Daily Star, Toffees owner and Iranian billionaire Farhad Moshiri believes Wenger "is the ideal candidate to revive the Merseyside club's fortunes. A few fights broke out in the stands and it's just really unfortunate".
It was true on Sunday when they went down 2-1 to Brighton, a side whose only wins in the league this season had come against West Ham, West Brom, Newcastle, Swansea and Watford.
Brighton return to action next Saturday, when they take on Sam Allardyce's struggling Everton at Goodison Park. It was their fourth straight loss in all competitions.
- Pascal Gross has assisted Glenn Murray four times in the Premier League this season - only Cesar Azpilicueta (six for Alvaro Morata) and Kevin De Bruyne (five for Sergio Aguero) have assisted a player more. He is the only manager in the history of the Premier League to have gone a season without a defeat and is easily one of the best options for Everton.
Wenger joined the club in 1996, winning the title in his first full season in 1998, he's won the Premier League three times but not since the Invincibles in 2004 and have been overtaken by Chelsea and Manchester City as frequent title contenders, plus Spurs and Liverpool too.