Didi Hamann insists that another thrilling Champions League run would help rather than hinder Liverpool's pursuit of Premier League glory.
Hamann, who was a Champions League winner with Liverpool in 2005, says Klopp's side have to go flat out on both fronts.
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"You only get so many chances as a player and as a team to win these trophies," Hamann told the ECHO.
"Man United are up against it after losing to PSG, Dortmund look like they're going out to Spurs.
"If Liverpool were to go out of the Champions League, I don't think it would enhance their chances of winning the Premier League.
"What you want as a player is rhythm, you want confidence to be high. That only stays high if you win games and knock good teams out of the competition.
"They have a big test, even though Bayern aren't at their best at the moment. It's a club with huge Champions League pedigree.
"I don't think you can say 'we'll concentrate on this or that'. Maybe you can do that with three or four games to go but not at this stage.
"At the moment they have to go all out to give themselves the best opportunity to win both competitions."