The Valencia defender has revealed the two clubs remain at loggerheads over the deal, with the Liga side keen for a sale and the Reds hoping for a loan with an option to buy
The Premier League side have been busy in the transfer market with four signings to date - Simon Mignolet, Kolo Toure, Iago Aspas and Luis Alberto - but are light on full-backs following the retirement of Jamie Carragher and Jack Robinson's loan move to Blackpool.
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"Liverpool have made me an offer and it is true that I have reached an agreement with them," he told Le 10 Sport. "It is now up to the clubs to agree terms. I expect to know more later this week.
"If nothing happens this week, it probably means that I will not be going to Liverpool.
"The conditions of the transfer are the problem. Liverpool prefer a loan deal with an option to buy, while Valencia want to sell straight away. If the transfer doesn't take place, it's not a problem either. I am feeling well at Valencia."
Cissokho made 20 appearances for Valencia last term after joining from Lyon on a four-year deal.