Despite ruling out the opportunity to pocket up to €80 million Liverpool were prepared to invest in the talented midfielder, RB Leipzig would be forced to settle for €50 million as early as next summer.
Liverpool will be hoping that Coutinho stays on at the club after the Reds secured a return to the Champions League for next season following their fourth-placed finish last term.
"The chances of Naby leaving are nil", Hasenhuttl said after Leipzig's 1-0 Emirates Cup defeat to Sevilla.
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Serie A heavyweights Inter Milan have joined the race for highly-rated RB Leipzig midfielder Naby Keita, according to reports from the Italian media.
"We will start the season with our current squad", Rangnick continued.
"For us, everyone can see how important Naby Keita is for our game", Hasenhuttl said.
"Nevertheless, if we go into the new season with what we've got now, I think there will be a lot of trepidation amongst the Liverpool fans. He knows this season will be fantastic for us", he said.
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Told that Liverpool have indicted they will resume their pursuit of Keita at the end of the forthcoming season, Hasenhuttl said he wasn't surprised given the rapid rise of the player and his team.
"He is more focused on us and has more fun now than past year. The first time in the Champions League is a great thing for Naby", he said.
"They (Liverpool) will not be the only one I think".
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