Liverpool assistant Sean O'Driscoll has left the club while Gary McAllister has been removed as first-team coach before Jurgen Klopp's arrival at Anfield.
The German is set to replace Brendan Rodgers, who was sacked on Sunday, and sign a three-year contract on Thursday.
Ex-Borussia Dortmund boss Klopp, 48, plans to bring in former assistants Zeljko Buvac and Peter Krawietz as part of his Liverpool backroom staff.
McAllister is considering the offer of another role with the club.
The 50-year-old Scot, and former England Under-19s coach O'Driscoll, 58, replaced Colin Pascoe and Mike Marsh, who were sacked after a summer review of Liverpool's management team.
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Liverpool's head of opposition analysis Chris Davies - who joined the club with Rodgers in 2012 - has lost his job along with head of performance Glen Driscoll.
Bosnian Buvac, 54, and German Krawietz, 43, were key members of Klopp's backroom team during his time at Dortmund.
Liverpool had also been considering former Real Madrid and Chelsea manager Carlo Ancelotti, who is out of work.
But the 56-year-old Italian has suggested he may only return to management next season.
He said: "I enjoy my time now but, of course, I want to come back to manage - to work - because it is my passion.
"I want to take my time to rest, but next season I am ready."
Klopp guided Dortmund to two Bundesliga titles before he departed this summer after a difficult domestic campaign in which they lost the German Cup final to Wolfsburg and finished seventh in the league.
Klopp 'lives, eats, breathes and thinks football'
Germany and Dortmund defender Mats Hummels, 26, said his former manager would be a "fantastic addition" to Liverpool.
The Dortmund captain, speaking before Germany's Euro 2016 qualifier against Republic of Ireland on Thursday, described Klopp as a "fantastic coach".
"He lives, eats, breathes and thinks football day after day," said Hummels.
Klopp is understood to have spoken to former Liverpool and Germany midfielder Dietmar Hamann about the club, the city and the fans.
When appointed, Rodgers's replacement will work within the existing structure and what has become known as Anfield's 'transfer committee'.
The international break means Liverpool's next game is at Tottenham on 17 October.
They have won only four of their 11 games in all competitions this season, including victory on penalties against League Two Carlisle at home in the Capital One Cup.
Rodgers, who took over in June 2012, led the Reds to second place in the Premier League in 2013-14.