- Premier League done deals: All the summer transfer window ins and outs
- Transfer news LIVE - Manchester United target Atletico Madrid's Jan Oblak
The Russian club announced it on their social media channels, with reports suggesting the deal could be worth £11 million.
Spurs 'call off pursuit' for Conte as new manager - reports
The Croatia international had been linked with a move to AC Milan last summer after being shunted down the pecking order at Anfield to fourth-choice centre back - behind Virgil van Dijk, Joel Matip and Joe Gomez.
The 31-year-old signed for Liverpool from Southampton in 2014, for a transfer fee of £20 million.
ANOTHER LIVERPOOL LEGEND WHO LEAVES THE CLUB
“Another Liverpool legend who leaves the club, because he was absolutely a very, very important part of this team from the first day since I was in,” Klopp told Liverpoolfc.com.
He played super games and scored one of the most important goals of our history in the 4-3 against Borussia Dortmund; a really wonderful moment to share.
“He had so many good games. Yes, I think he will not like the Tottenham game when I took him off in the first half, but it is part of football and part of development – and he always came back.
“When he was fit, he was very, very, very often in the team. A great player and a great person."
Defensive nightmare for Dejan Lovren on FIFA 20
Pogba: Beating Liverpool would put us on their level
Best of 2020 - When you walk through a storm: why title really does mean more for Liverpool