The 24-year-old has started seven matches for the Gunners this season due to an injury to Wojciech Szczesny, but he could find himself on the sidelines when the Pole returns.
"I want to make it clear, because there have been unfounded rumours, that my contract is not ending in 12 months," he told Arsenal Player.
"I've got a few more years and I'm happy to be at Arsenal right now. I'm looking at the present and my future is not in doubt. I want to stay at Arsenal as long as I can, I don't want to move to any other club."