Wenger’s attacking options have been limited recently due to the absence of Alexis Sanchez and Theo Walcott.
However, Walcott is now fit again following a five-week lay-off due to a calf injury while Sanchez has an outside chance of facing fellow title contenders Manchester City on Monday after missing three games with a hamstring problem.
Welbeck’s latest setback could prove to be a major blow to his hopes of making Roy Hodgson’s squad for Euro 2016.
The 25-year-old had been a certainty to be included after scoring six goals in five games during England’s qualifying campaign.
However, his extended lay-off coupled with the current form of Leicester’s Jamie Vardy and Harry Kane of Tottenham has put his place in Hodgson’s squad in jeopardy.