Jurgen Klopp has previously admitted that Adam Lallana could leave Liverpool in the summer.
The midfielder's current contract at Anfield is due to expire at the end of the season, with the Reds not in talks over a new deal.
Lallana has struggled to establish himself as a fixture in Klopp's first team plans, with the majority of his appearances this season coming off the bench or in cup competitions.
His recent good form had prompted speculation that Liverpool could hand Lallana a new short-term contract, but Klopp's comments suggest the players future lies elsewhere.
“Everything about Adam Lallana, Adam Lallana knows and I know, and I’m really happy for him that he’s in sensational shape at the moment; that’s what we try to show constantly, as often as we bring him in,” Klopp told Sky Sports in January.
“He is a very important player in this moment. What will happen in the future, we will see. But for him, wherever it is – here or somewhere else – the only important thing is that he can show he is 100 per cent fit.
“He had some injury problems [that are] completely done; trained, body is super fit, mind in a perfect place, enjoys the time here in the moment. You can see that in each second of training and [when] he plays, very influential.
“But these kind of things we don’t discuss in public, so you have to speculate further.”
According to The Telegraph, Arsenal, Tottenham, Leicester City and West Ham are all interested in landing Lallana on a free transfer in the summer.
Foxes boss Brendan Rodgers knows the midfielder well, having signed him from Southampton during his spell in charge at Anfield.
And the report says the 2015/16 Premier League champions are leading the chase for the playmaker, as they look to strengthen their squad ahead of a potential Champions League campaign next season.