“There’s no chance that he will be staying at Lille,” he told Sky Sports’ Transfer Talk podcast.
“They know, the coach Christophe Galtier - before the season had even finished - was saying it.
Liverpool transfer news: Jurgen Klopp target Nicolas Pepe is subject of £80m Inter Milan bid (Image: GETTY Images)
“It’s 100 per cent, if not greater, that he will be leaving, he will be moving on.
“There will be movement on that front, it wouldn’t surprise me to see him go to the Premier League.
“But there’s a lot of clubs in some of the biggest leagues in Europe who are interested in him.
“PSG were looking at him as well, so I don’t think we can rule out a move to perhaps the likes of Spain or Italy, perhaps even Germany.
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Klopp is understood to be a big fan of the Ivory Coast international, and is keen to add him to his Champions League-winning squad.
Liverpool have been quiet in the transfer window so far, but Klopp may consider adding to his team to keep putting pressure on Premier League champions Manchester City.