The England striker has not featured for the north London club so far this season due to a knee problem but is now closing in on a return to action for the Gunners.
Welbeck recently played for Arsenal’s Under-21 side and Wenger has revealed that the forward could be involved against Hull in the FA Cup fifth-round clash on 20 February.
Wenger, whose side host Leicester City in the Premier League on Sunday, told Arsenal Player: “He [Welbeck] is doing well, it is a bit early for him maybe but he is now back to full power in training.
“It is a big possibility [he could be involved against Hull next week]. We gave him one or two days recovery after the under-21 game, but now he is back in full training. He has worked very hard and he is fit.”
The Gunners boss also went on to deliver the latest Arsenal injury updates on midfield duo Santi Cazorla and Jack Wilshere.
Santi Cazorla (knee)
Last game: 29 November 2015
Jack Wilshere (ankle)
Last game: 26 July 2015
Danny Welbeck (knee)
Last game: 26 April 2015
Tomas Rosicky (thigh)
Last game: 30 January 2016
Wenger revealed that the pair are also both closing in on returns to action.
He continued: “They are back running, they are on a fitness programme now so it means it is not a question of months any more, it is a question of weeks for them to be back.”
And the Frenchman confirmed that Tomas Rosicky would miss Sunday’s clash with Leicester after he suffered a muscular injury.
He added: “It is a similar squad available to last week, we are still early in the week but we should have everyone available. Of course Rosicky [is out], and Wilshere is not ready. But everyone else should be available.”
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