Aside from his suspension for three domestic games - Mane can still play against Sevilla on Wednesday - the African's absence ensures Philippe Coutinho's first-team exile ends sooner rather than later, Klopp suggesting the timescale for his return was always another "three or four days".
Liverpool goalkeeper Simon Mignolet is backing the Reds to bounce back following the embarrassing 5-0 defeat at Manchester City on Saturday. Listen to the latest episode and subscribe to the podcast on Deezer and iTunes.
United States top court temporarily upholds Trump's refugee ban
By that point, the original 90-day travel ban will have lapsed and the 120-day refugee ban will have just a few weeks to run. Lower courts had blocked the ban, saying Trump overstepped his authority and unconstitutionally targeted Muslims.
Klopp said: "This was the decision we took at City - to leave him out".
After a summer of heavy speculation that the 25-year-old would depart to Barcelona, Coutinho has since returned to training at Melwood from worldwide duty with Brazil - with Klopp initially eager to first rest the player before featuring him.
Liverpool will host Burnley at Anfield in their league match on Saturday.
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Although Qatar has rejected some of them out of hand, Sheikh Sabah said he believed negotiations were possible. Later Friday, the White House said Trump had spoken separately with the leaders of Saudi Arabia and the UAE.
The Spaniard signed a three-year deal with the La Liga side this summer after failing to live up to the expectations in the Premier League with Manchester City last season.
"We have to take the first 20 minutes and how we played before the worldwide break and take it into the next game", said Mignolet.
Coutinho, Liverpool's top-scorer last season and the heart of their midfield creativity, will no doubt be integral to Liverpool's attack amid Mane's suspension.
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The 57-year-old Benitez wasn't at Liberty Stadium after having a procedure tomorrow to address an infection resulting from an earlier hernia operation.
Klopp says that he is set for Champions League duty this week. Both Mignolet and Karius will feel they deserve playing time, but Liverpool also still have Danny Ward, and he needs minutes, too. That is really good and hopefully we can use him as quickly as possible.