The Merseyside giants are putting the finishing touches to a proposal for Preston North End centre-back Ben Davies, who is due to undergo a medical at Anfield on Monday morning.
However, according to France Football, the Premier League champions have not given up hope of bringing in Caleta-Car.
The report claims that Marseille are attempting to secure a replacement for the 24-year-old before making a decision on his future.
The Croatia international has been a regular for the French outfit this season, making a total of 23 appearances in Ligue 1 and the Champions League.
With two-and-a-half years remaining on his contract, Caleta-Car would cost considerably more than Davies, who is available for around £1.6m.