Brendan Rodgers wants Maxi Rodriguez to extend his Anfield stay.
The boss has had discussions with the Argentina international and admits his future is not certain.
However, Rodgers is an admirer of Maxi's talents and hopes he can be persuaded to remain on Merseyside for the forthcoming season.
He explained: "I have known about Maxi for a long time. He will understand 120 per cent about the way I want us to play.
"But sometimes there are issues that surround that - that's what I am speaking to him about now. He doesn't speak the language, it has been difficult for his family.
"If a player like him wanted to leave, it would not be because of the club. Sometimes it is just personal issues. I have had a couple of really good conversations with him. I know his thoughts and how he is thinking. It was a difficult season for him. He probably felt that he should have played more.
"We will hopefully see where he is at over the next couple of weeks and find a solution for him.
"But he would be a very good player for our squad."
Maxi has scored 17 goals in 73 appearances for Liverpool since being signed from Atletico Madrid in January 2010.