The midfielder is yet to feature for the north London side this season after undergoing surgery on a hairline fracture of his leg before the start of the campaign.
Speaking at a news conference at Arsenal’s London Colney training ground on Monday morning, Wenger moved to play down suggestions that Wilshere had suffered a setback in training and said that he hopes to have the England international back available for selection in the coming weeks.
Wenger said: “No, that’s the wrong information [about a setback].
“He’s looking quite good, I must say. Overall, I had a short chat with Roy Hodgson about him and reassured him that he progressing well.”
Asked when Wilshere could return, he replied: “I will be cautious and say four weeks.”
The Arsenal boss, whose side host Southampton in the Premier League on Tuesday night, also revealed that midfielder Tomas Rosicky suffered a thigh injury on his return to action against Burnley on Saturday.
He continued: “He has a thigh problem. How deep the problem is we don’t know yet because he has a scan today. We will know much more about it tonight.”
Wenger revealed that Arsenal suffered no other injury concerns during Saturday’s FA Cup win at Emirates Stadium, with Rosicky, Wilshere and Danny Welbeck the current absentees.
Arsenal head into Tuesday night’s game in third place in the Premier League table and three points behind leaders Leicester City.
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