The England international’s future has been a source of constant speculation in recent months, with his current deal set to expire at the end of the season.
The 23-year-old is understood to have agreed to sign a £90,000-a-week extension in principal but has yet to put pen to paper.
And speaking after Arsenal’s 1-0 win over Swansea City in the FA Cup third-round replay, Wenger said that he hopes for a resolution in the coming days.
“I hope it will be soon, very, very soon now. I cannot tell you much more.
“As long as he thinks I’m not done, it’s not done but that’s the first important work we have to do and hopefully we can do that very quickly.”
Asked if Arsenal need to bring in another striker in the January transfer window, Wenger replied: “I believe in [Olivier] Giroud.
“He is a threat and he creates chances. Let’s first try to finish the deal with Walcott and then we see what we can do from there.”
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