The report says that with Moreno attracting interest from other clubs such as Chelsea, Napoli and Real Madrid, with the Sevilla president Jose Castro said to be keen to drive up the price of the defender.
Manager Brendan Rodgers may turn to other players with Granada’s Guilherme Siqueira and Chelsea’s Ryan Bertrand being considered.
More details have emerged of the breakdown of Liverpool’s offer for Southampton midfielder Adam Lallana.
The Daily Telegraph has said Southampton would have only received around £15 million from the initial bid for the 26-year-old, with the rest of the offer made up of bonus-related clauses.
Forward Fabio Borini wants to prove himself at Liverpool according to his agent having spent the season on loan at Sunderland.
Borini has returned to the club and with the club in the Champions League, he could add more depth to the squad as he fights on four fronts.
His agent is quoted, saying: “He wants to compete with everyone and be an extra resource for the coach and the team.”
It values Suarez at £79 million with only Barcelona’s Lionel Messi and Real Madrid’s Cristiano Ronaldo ahead of the Uruguayan on the list.