The French giants have confirmed that despite intense speculation, Liverpool have not made an offer for the highly-rated left-back.
The 23-year-old French international has admitted he would like to make the move to England - but a deal does not appear imminent.
Bernard Lacombe, who officially special advisor to president Jean-Michel Aulas, and is one of the power brokers behind the scenes at Lyon, says no offer has been made.
"If Liverpool is attracted in Cissokho, they have to come to us," he told L'Equipe.
Lacombe did confirm that Lyon were no long in a position to pay big fees fro players, which ruled them out of the running for in-demand Sochaux forward Marvin Martin.
"Marvin Martin? He is between 10million and 14 million euros, it is useless. I had a few phone calls with his agent," he said.
"He told me the player is attracted to join us. But with such fee, we don't have the right means. Yes it is frustrating.
"It is the same with Nicolas Nkoulou, who joined Marseille, it was very close. We made efforts to match the l'OM offer but we couldn't."