Wenger guarded about Berbatov interest
Fulham's Bulgarian striker Dimitar Berbatov scores his second goal from the penalty spot during a Premier League match against West Bromwich Albion at Craven Cottage in London on September 15, 2012
Wenger added that he will wait to discover the extent of Nicklas Bendtner's ankle injury before deciding whether to bring in another striker during the window.
The Premier League leaders host north London rivals Tottenham in the FA Cup third round on Saturday with a selection headache in attack.
Lead frontman Olivier Giroud missed the 2-0 win over Cardiff on New Year's Day because of an ankle problem and has also now been hit by a sickness bug.
Bendtner came off the bench to score with just two minutes left, but suffered a sprained ankle when putting the ball past goalkeeper David Marshall and the club are awaiting results of a scan for a more detailed diagnosis.
Wenger openly admits Arsenal will not rule out a move for a top-calibre player should the opportunity arise this month, but he was guarded on 32-year-old Bulgarian Berbatov.
"He (Berbatov) is not a name that we have considered at the moment. We have not even been out on the transfer market, we have not contacted anybody," Wenger said.
"We are just analysing the situation, being very cautious until we are well informed about Bendtner and (Yaya) Sanogo as well, because he is back in training now. We will make a decision after that."
Wenger continued: "It depends on how long he (Bendtner) will be out for.
"But I don't want to go into any speculation on any specific name because that would not help where the player plays at the moment and would be disrespectful to the player's club.
"At the moment we are just considering our options.
"I must confess they are quite restricted; in the way that the players available can strengthen our squad are not on the road, they are all under contract, most of the clubs are in competitions where they need their best players.
"I don't rule anything out, but first I have to assess well our internal situations with the injuries and the players coming back."
Press reports in Britain have also strongly linked Arsenal with a move for Atletico Madrid's Brazilian-born striker Diego Costa, scorer of 19 goals in 17 games this season, and are said to be ready to trigger the £32 million ($52 million, 38 million euros) buy-out clause in his contract.