Benitez insists there have been no developments with regards to the future of Ryan Babel but has hinted the winger could still leave in January.
The Dutchman has been the subject of a £9million bid from Birmingham, which was rejected by the Reds, while he also risked the fury of his boss with a Twitter outburst.
Babel's agent, Winnie Haatrecht, claimed last week that a move to St Andrews remains a possibility and that an offer was being studied.
Benitez has not divulged any such details, but has implied that he would be willing to listen to offers.
The Spaniard told Liverpool's official website: "We are working with him, he is training with the team normally and we don't have any news.
"Maybe we'll have more news before the end of the transfer window."