Djourou initially joined Blues in the summer with a view to him returning to the Gunners in January.
He said: "Will I try and keep Djourou for the season? I would think that would be a target we would try and achieve.
"I know Arsene is mindful of the fact Toure is needed for the African Nations Cup. It is an obstacle we will have to try and overcome.
"But if we can't do that, we will have to try and look for someone else because we are a little bit light in that department of the team."