Reports in Spain suggest that Real offered the Frenchman to both Arsenal and Chelsea in the current transfer window, which closes on Tuesday night.
The 29-year-old Benzema has been linked with the London club for many years but Wenger insists he will not make a bid for the Les Bleus international.
Wenger said: "He is linked with us because he is French and maybe there is a bit of noise that he could leave Madrid.
"But there is no need for us to buy any strikers. On our front, we have a big squad and don't need to buy.
"I believe that numbers and quality wise we have what is required."