The Spanish goalkeeper has been heavily linked with the likes of Arsenal and Manchester United in recent weeks.
“I have seen a newspaper has made this suggestion. It is completely untrue,” Reina told the club’s official website.
“I have not told the manager that I wish to leave in January, or at any other time. It is important our fans know this.
“I have a long-term contract at Liverpool and I am fully committed to the club.
“Our new owner met me and some of the other players last week and I was very happy with what he told me.”