The 24-year-old has not featured for the Gunners this season having suffered a broken leg on the eve of the new campaign.
Wilshere has endured a torrid time with injuries over the previous three years, with a number of ankle issues keeping him largely on the sidelines.
But Wenger, speaking ahead of the Arsenal's Premier League clash with Southampton tomorrow night, played down suggestions Wilshere has suffered a setback in his recovery.
The Frenchman has also reassured England boss Roy Hodgson that Wilshere will be fit and ready to go at this summer's European Championship.
"No. That is the wrong information," Wenger replied when asked about a potential delay in Wilshere's return. "He is looking good.
"I had a short chat with Roy Hodgson about him and reassured him that he is progressing well. I'm cautious but I will say (he will be back in) four weeks."