Negotiations have already started with chief executive Ivan Gazidis to extend his 17-year stay in London until 2016 - despite lucrative offers from French champions Paris Saint-Germain.
But, despite eight barren years, Wenger said: "I am committed to staying longer at this club and we have already had a chat with Ivan.
"The talks went well and it's not a problem. But I will not use my longevity as an advantage to stay in this position if I don't do well.
"My future will depend on how well I do. I don't just assume I will always be here.
"I've always shown my loyalty to this club and I don't need to prove anything on that. But I want to do well for Arsenal so this is an important season for me."