Welbeck, who moved to Arsenal from Manchester United in the summer of 2014, has therefore not turned out for the first-team this season but continued on his path of recovery by playing 60 minutes of a Barclays Under-21 league clash against the Seagulls at Arsenal's London Colney training base.
Talking about the striker's return ahead of the game, Wenger said he hopes to have Welbeck back in first-team contention in as little as three weeks.
"I believe that he needs to play two or three games before thinking about coming back into the first team," the Frenchman said at his weekly press conference.
"He has not played for 10 months so we need to be patient with him. He has good basic fitness but after it is competitive decision-making and he needs to get used to that again.
"We can organise games internally without being official games and I think in the next three weeks he should be available."
With Arsenal having failed to score in their last three league games, Wenger will welcome the return of Welbeck, while England boss Roy Hodgson will no doubt keep a close eye on his recovery ahead of this summer's European Championship.
- Telegraph