The Reds are still in the process of finalising their transfer plans, with Brendan Rodgers having only recently inherited the managerial reins from Kenny Dalglish.
The new boss at Anfield worked with Kalou during his time as a coach at Chelsea and is reported to be an admirer of the Ivory Coast international.
It is being suggested that an official approach could be on the cards, with Kalou's contract at Stamford Bridge having come to an end.
The likes of Newcastle and Schalke have also been heavily linked with the versatile forward, and his representative admits anything is possible.
Rodger Linse told the Liverpool Echo: ""There are conversations going on, and of course when that is happening then you must be careful what you say.
"Liverpool can speak for themselves, and Schalke can speak for themselves. That is fine.
"Of course Liverpool is a very big club, in terms of support and in terms of history.
"It is definitely positive to hear that a big club like them are showing an interest in Salomon, though it is too early to say anything definitive at this stage."
Comments attributed to Schalke manager Huub Stevens suggest Kalou is eager to try his luck away from England after six years as a Premier League performer, but Linse claims the 2012 Champions League winner could be persuaded to stay in the Premier League.
"He has been very happy at Chelsea," he added.
"He is a player with ambition, and he has managed to satisfy a lot of those ambitions over the last few years.
"He never quite made it to be a guaranteed starter with Chelsea, but his statistics were always good, and he won lots of trophies there.
"In many ways it will be difficult to find a better place to be, but he is open-minded, and would be happy to continue in England if the right club comes in."