Wenger said that while Wilshere would likely be fit for the following week's game against Liverpool, Ramsey remains a few weeks away from a return.
"We have good news [on Wilshere]," Wenger told the club's official website. "For Sunday he will be short but he has a chance to be available for the week after at Liverpool.
"Ramsey will be out for longer because he had a setback and it doesn't look too good. It is matter of some weeks for him."