Benayoun has started just six games for the Reds this season.
He said in The Sun: “The boss had a chat with me a couple of weeks ago after stuff appeared in the newspapers about my future.
“I didn’t ask for any talks – he said he wanted to speak to me about it and he just told me to stay calm, because I would get my chances in the team.
“We agreed it was important now for me to put any of my personal feelings to one side and concentrate on trying to keep us at the top of the table.
“There will be time for me to think about my situation in January or at the end of the season.
“So for now I’m happy to put that behind me and focus on doing my bit for the team. The problem for me is the manager is not rotating as much as he used to.
“It is the same 11 players every week, and they are doing so well, so no one can really complain.
“I have to be patient, but I’m still not sure whether, in the long term, my future will be here.”