But with Arsenal playing Liverpool at the Emirates on Saturday, Wenger was quick to dismiss suggestions that he is eyeing up a move for the 20-year-old England winger.
"Look, I do not want to speak about any moves," Wenger said in his prematch news conference. "We are not in a transfer window and we are in front of a big game. I respect Liverpool and do not want to go into any supposed move for any of their players.
"Raheem Sterling is a top player. Everybody knows that in the country now. He is an important player for Liverpool. I don't want to interfere in that 48 hours before a match. That is down to Liverpool. It's not my problem."