The Newcastle star played in the 1-0 defeat to the Gunners on Sunday and was the subject of a summer bid from the Emirates outfit, but the 64-year-old is happy with his midfield.
The France international, who played in the 1-0 defeat to Arsenal at St James' Park on Sunday, was one of a number of summer targets for the Gunners, who had hoped to land the former Lille man in a 10 million pound deal.
Newcastle boss Alan Pardew dismissed the offer as "disrespectful" at the time, and Wenger is not looking to bolster his midfield options despite being in a strong position to challenge for the Premier League title.
"No, we don't look for midfielders," Wenger told Sky Sports News. "Today we did not have [Mesut] Ozil, we did not have [Aaron] Ramsey who stayed at home, but we still had three good midfielders and I still had Arteta on the bench.
"There is no real need in there."
Olivier Giroud scored the only goal of the game in a victory that ensures Arsenal will end 2013 top of the Premier League table.
But Goal understands the Gunners are looking for competition for Giroud in January as Wenger chases a first league title in a decade.