Vieira made a positive contribution as a substitute at Celtic Park, playing for 32 minutes and adding spark to Arsenal's play in a match that failed to live up to expectations.
But the big worry for Wenger is that he has still not signed his new contract. 'How close we are with Vieira I cannot say,' said the Arsenal manager.
'I am always positive but I cannot tell you much more. We are still negotiating but I am very confident it will be finalised before the start of the Premiership season.'
Once Vieira has signed and Robert Pires has followed suit - he is expected to agree an extension to his contract this week - that is likely to be the end of Arsenal's spending for the season.
But Wenger is unapologetic about his lack of activity in the market. Nigerian striker Kanu, a reserve these days, scored the equaliser for the north Londoners after Liam Miller had put Celtic ahead. And Wenger believes that shows how strong his squad already is.
He said: 'I have enough good players. I don't know where I can fit another player in if I buy one. Kanu came in against Celtic and he has not played for a long time but he again looked a great player.
'We also have Jermaine Pennant and Jeremie Aliadiere, who looked very sharp against Celtic. He showed good movement in the first half and looked like the one who could be dangerous.'