Asked if he was ruling himself out of the running, Allardyce said: "I am not saying anything like that.
"There is a man in the job, he is a good friend of mine and I won't speculate as to whether I would or I wouldn't do anything. Steve should be left to finish what he is doing."
Asked if it is on his long term radar, Allardyce added: "You don't know what happens or when it might come about.
"This is the biggest club as an English manager I could have got. The only job that might have been bigger than that is a job as national coach."