The London Evening Standard says Wenger's centre-back concerns could further deepen if William Gallas decides not to renew his contract, which expires in the summer. If such a situation arises, Arsenal must be in the market for two new centre-backs, even if Johan Djourou does make a complete recovery given Sol Campbell is unlikely to be offered another year at the club.
Kyle Bartley is highly thought of but the 18-year-old is out on loan at Sheffield United learning his trade, while Neven Subotic, of Borussia Dortmund, and Hamburg's Jerome Boateng are possible transfer targets.
"Might I be tempted to spend this summer? We are at a stage where we develop the players," said the Arsenal manager.
"Last night in midfield we had Theo Walcott, who is 21, Bendtner up front who is 22, Samir Nasri, Abou Diaby and Denilson are 23, 22. I think they have shown some great qualities and will be stronger every year.
"We have to add something, that is for sure, but we have some time to think about that."