Weren't we "looking to sell" Fabinho in January? Turned out to be a complete non-story.
That being said, if Keita doesn't win a starting place in the first few months of next season, I could see him and LFC parting ways. Klopp doesn't allow his CMs too much freedom of expression; we see this with Wijnaldum who turns into a different player in his national team, and in his notable preference for the reliability of Hendo, Gini and Milner over the flair of Keita and early-season Fabinho. It's possible that Klopp and Keita are simply not compatible with each other's style, just like Pogba and Mourinho.
That being said, if Keita doesn't win a starting place in the first few months of next season, I could see him and LFC parting ways. Klopp doesn't allow his CMs too much freedom of expression; we see this with Wijnaldum who turns into a different player in his national team, and in his notable preference for the reliability of Hendo, Gini and Milner over the flair of Keita and early-season Fabinho. It's possible that Klopp and Keita are simply not compatible with each other's style, just like Pogba and Mourinho.