Wenger did admit discussions have “slowed down" in the past couple of weeks but insists that dialogue is still open and the club want the 28-year-old playmaker to re-sign.
German media claim talks have stalled since February.
But on Wednesday Wenger said: “Yes, of course (I am hopeful).
"The contract talks have slowed down a little bit since August 31, because we need a little breather and to focus on the competition. But we will slowly get back into that."