Despite the improvement, Arsenal look set to spend next season without Champions League football in what could be the first time in more than 20 years that Wenger's team will not feature in Europe's elite club competition.
They will be back in the Champions League next season and Wenger believes they face a battle to defend the trophy.
Fast-finishing Arsenal still need Liverpool or Manchester City to drop points in order to secure a top-four finish, and long-suffering Gunners faithful can only hope that it's not too little too late from their side.
The Gunners are looking unlikely to finish in the top four, even if they manage to take maximum points from their two remaining games.
"When you are a manager you want your team to give everything until the last moment".
"You only have to look at the teamsheet and it had goals, creative players, it had everything really, and I felt we trusted that, we trusted our ability".
"Some teams turn up, some teams are on holiday".
"But in the last two seasons, a team that hasn't played in Europe has won the league".
"I still think we just have to give our best to get to 75 points and if it doesn't happen, it doesn't happen".
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Bayern have already won the Bundesliga this term, while the two Champions League finalists - Juventus and Real Madrid - are top of Serie A and second in La Liga respectively.
"That will be four points more than past year, so let's focus on finishing as well as we can".
"We have 69 points today, so let's make [it] 72 on Tuesday".
"Our chances depend on winning our games".
Ozil scored has racked up 12 assists and 12 goals in 41 appearances for Arsenal this season. "Do it better during the season and you will not have this problem".
Sánchez limped out of the 4-1 win against Stoke City on Saturday but Wenger was optimistic the Chilean striker and Koscielny would feature against Sunderland.
Wenger also complained about the performances of "many" other Premier League clubs once their safety was confirmed.
"The players have responded after a hard period".