Karim Benzema would demand wages in the region of £200,000-a-week to join Liverpool this summer, reports The Daily Mail.
The same report has suggested, however, that a deal to bring Benzema to Anfield, which could cost the club as much as £40 million, will not be simple, as the Frenchman is close to agreeing a new deal with the La Liga giants.
It remains to be seen, however, as to whether Reds boss Rodgers will step up his interest in the striker, who starred for the French national side at this summer's World Cup. The report from the Mail has also suggested that Rodgers could still make a move for Benzema's club teammate Isco in this market, with Colombian superstar James Rodriguez set to sign for the Bernabeu outfit.
Liverpool fans will certainly be hoping the club can land one of Madrid's star names, as the club go in search of a marquee signing. The Reds, of course, have already let Uruguayan hitman Luis Suarez depart the club.
Benzema would certainly prove a great replacement for Suarez after the Frenchman played a key role for Carlo Ancelotti's side as they secured Champions League silverware last term.
Despite the sale of Suarez, Rodgers still has a lot of fire power in attack already in place. Daniel Sturridge, who formed one half of the SAS partnership alongside Suarez last term, scored 21 league goals for the Reds as they finished the 2013/14 season in second place.
Rodgers has already completed the signing of Sturridge's international teammate Rickie Lambert this summer, who hit the net 13 times in the league for the Saints last term. It remains to be seen as to whether Fabio Borini, who was shipped out on loan last season, stays at Anfield for the up coming season.
Reds fans will certainly be hoping the club can land a top name to compete with the likes of Sturridge and Lambert next term, as the club embark upon a European challenge.
Liverpool will be excited by their return to the Champions League under Rodgers. The club last won Europe's elite competition in 2005, and will be hoping for success in the tournament once again this season.
The Reds will also be hoping to go one better in the league after managing a second place finish in the Premier League in 2013/14. Rodgers' side will have to dislodge champions Manchester City, who won the title on the final day of the last campaign.
Liverpool fans: Do you think your club can land Benzema? Have your say below!