Wenger insists his team can do even better than fourth and overtake Manchester City and Chelsea, who lie second and third, nine and two points ahead of the Gunners respectively.
Arsene Wenger: "I'm not sure it will only be a fight with Tottenham.
"I'm not sure the other places are not reachable.
"Chelsea are just ahead and even Man City is not out of reach. It could be a tight fight until the end.
"I hope this gives us a bit more quietness for us to prepare our next game. It was a very important day for Arsenal Football Club.
"I am very happy for the players because they have a good attitude and want to do well.
"We went through some difficult times so it was important first to show that we are united, determined and focused to win the game, and we were.
"We were a bit nervous - I concede that - because we are a lot under pressure, we had our backs to the wall and had to win the game."