“The club considers the matter to be private and therefore will not be making any further comment.
“Zeljko remains a Liverpool employee and his position at the club is not affected by this absence.”
And Anfield Edition say Klopp wants his old friend back at Liverpool.
Reports had claimed the duo had had a bust-up after Buvac supposedly met with Arsenal head of recruitment Sven Mislintat about taking over.
However, the duo have now supposedly made up and could work together again.
Raphael Honigstein reveals Klopp - Buvac bust up
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Liverpool news: Arsenal are still hunting for an Arsene Wenger replacement
It is said Klopp wants him in the dugout for Liverpool’s final game of the season against Brighton.
There is also the small matter of the Champions League final, which takes place on May 26.
Should Buvac return to his role as Liverpool assistant, that would rule him out of the running to replace Wenger at Arsenal.
Express Sport understands Max Allegri and Luis Enrique are the standout candidates.
But former Chelsea and Bayern Munich manager Carlo Ancelotti is another in the frame.