Brendan Rodgers has said Liverpool have had no offers for Daniel Agger, despite increasing speculation over the defender's Anfield future.
Agger, 29, was not involved in Sunday's 4-0 preseason victory over Borussia Dortmund because of a knee problem.
His first-team prospects have been threatened by the arrival of fellow left-sided centre-back Dejan Lovren from Southampton.
Lovren was the key defensive signing Rodgers wanted this summer to cut down the number of goals conceded by his team.
The Reds finished runners-up to Manchester City in the Premier League but only had the division's eighth-best defensive record as they let in 50 goals.
Denmark international Agger has been linked with a return to his former club Brondby, whose chairman Jan Bech Andersen said on Aug. 1 that he was keen to sign the defender.
Barcelona, Arsenal and Tottenham are among the other clubs reported to be interested, but Rodgers stressed that no bids had been received so far.
The manager told the Liverpool Echo: "I saw some stories on Agger, but we haven't had any enquiries.
"Daniel is still getting some work done on his knee. He's been unfortunate since the [club's preseason] tour of America, but we haven't had anything, no offers."
Agger joined Liverpool from Brondby for six million pounds in January 2006.