The Dutchman had been expected to miss the last-16 second-leg tie having not played since injuring his knee in the Carling Cup final on 27 February.
Meanwhile, Cesc Fabregas was "90% likely" to be fit.
The pair had fitness tests on Monday ahead of the Nou Camp meeting in which the Gunners will hope to defend a 2-1 lead.
Speaking ahead of the fitness tests, Wenger said of midfielder Fabregas: "It is 90% he will be fit. His return is vital, he is important [linking] attack and defence."
Jack Wilshere has declared himself fit, despite picking up an ankle knock at the weekend but his midfield partner Alex Song is set to miss out with a knee injury. Wenger also has to do without winger Theo Walcott, who was also injured against Stoke.
Wenger confirmed: "Alex Song is completely out. He had a test on Sunday morning and it was negative. Wilshere will be fit. Everybody else who played on Saturday should be available."