On Sunday, Arsenal travel to West Brom - where a young team won through on a penalty shoot-out in their Capital One Cup tie last week - looking to record what would be a remarkable 11th straight victory in all competitions.
Wenger feels a new-found self belief is behind the dramatic improvement, with confidence now flowing through the team and supporters alike following the club-record £43million signing of Mesut Ozil from Real Madrid on transfer deadline day.
"For us it is important to maintain our consistent run and to continue to develop as a team because if you look at the broader picture we have had quite a good consistent run since March, but it is important of course that we continue to develop," said the Arsenal manager, whose side cruised past Napoli 2-0 in their Champions League tie at the Emirates Stadium on Tuesday night.
"I believe we can still do better, that there is more to come from us, but that will depend now on how much we want it and how hungry we are to improve."
Wenger continued: "We have managed to get a better defensive stability, and afterwards maybe a turning point is our game at Bayern (Munich in the Champions League in March), when everybody expected us to be trounced, to lose by six or seven, and after that also the fact that we could manage a consistent run towards the end of the season; that convinced the players that we must have some qualities.
"I believe as well, the consistency of our results comes from a greater attitude of the players - but let's not forget we have won nothing and that is all to do. We have to continue to have that hunger attitude, to improve from game to game."
Arsenal will take on a West Brom side which is also riding on the crest of a wave following their impressive shock away victory at Manchester United last weekend.
"It is a massive game for us and an exciting game as well, because both teams have full confidence and have quality," said Wenger, who will be without full-back Bacary Sagna for up to a month because of a hamstring injury.
"We (will) play with the same desire and the same attitude, and as well because we have a level of confidence that is there.
"But West Brom represents as well a good test for us because, on the back of an outstanding result at Manchester United, their confidence is certainly high as well, so it will be a very interesting test."
French midfielder Mathieu Flamini has impressed since rejoining the club during the summer transfer window, when he was a free agent having been released by AC Milan.
The 29-year-old, who left Arsenal in July 2008 when he ran down his contract, feels this current Arsenal side has more steel than previuos years.
Flamini said on the club's official website, www.arsenal.com: "Everyone knew Arsenal have a lot of qualities, but this year we are showing we have the fighting spirit.
"Everyone is helping each other and it makes the difference because of course in a season you have some good periods and some difficult periods.
"What is important is to win game after game, work hard and stay focused and to keep going with our great spirit and then we will see.
"Maybe for us there will be a good surprise this season."