Wilshere's contract with Arsenal expires at the end of the current season and he could leave the club in January to improve his chances of being in the England World Cup squad next summer.
Asked about a new deal for Ozil, Wenger added: "I don't know how close but he will stay here until the end of the season for sure".
And when Wenger was asked about Ozil's contract talks, he replied: "How close?"
"We'll see today in training, but we have no basic problem". "[He'll stay] until the end of the season, the rest is open".
"Or if you want to put a spanner into the works, if Mesut Ozil wants to go to Manchester United, they're still almost together if Alexis Sanchez goes to Manchester City". The Chile worldwide, 28, was the subject of interest from Manchester City in the previous close-season transfer window, but a move fell through at the last moment.
Olivier Giroud A First Team Player For Me - Arsene Wenger
England global Wilshere, who spent last season on loan at Bournemouth, has seemingly overcome a torrid run of injuries. "Because I've just got my first Premier League start".
And Wenger was forced to defend the forward's form.
He said: "Ozil wants to play another two to three years in the Premier League".
"I said I would rotate up front a bit".
Wenger, who revealed Welsh midfielder Aaron Ramsey will be out of action for three weeks with a hamstring injury and England worldwide Theo Walcott has a groin problem, admitted his side needed to turn their dominance of recent games into goals. "There's a lot of competition up front and it's true that somebody in the middle of the park or up front has to be moved out as there's one less position available".