"I can surprise you sometimes, as I got one in whom you did not expect, and there still might be one more player coming in," said the Arsenal manager.
"You know the position, but I cannot tell you much more."
Asked whether there would still be interest in Barry, Wenger said: "There is interest always."
However, he insisted: "I do not want to give you any names.
"But we are not in a desperate situation because we have Song back from the Olympics, Diaby does not look too far away and hopefully we can good news from [Tomas] Rosicky in the next two weeks.
"We are not short, but one more body is possible."
On the subject of pursuing potentially cup-tied targets, Wenger added: "I believe once somebody cannot play for you in Europe, it devalues the player for the season - but it is not necessarily stopping you from buying a player."