Sakho has been training alone since returning to Melwood at the beginning of pre-season, as he remains out of favour under Jurgen Klopp.
This leaves Sakho needing to seal a move away from Liverpool before Thursday’s transfer deadline, with interest mounting.
According to the Liverpool Echo, the Reds are “confident” of negotiating a £30 million deal for the France international, whose contract expires in 2020.
But the Eagles “remain favourites,” as the defender’s “preference is to return to Selhurst Park,” having excelled on loan there in the second half of 2016/17.
Liverpool are said to believe the level of interest in Sakho will allow them to demand their full valuation for the 27-year-old.
This comes despite there being just three days to finalise his exit, and clear indications that he is not wanted on Merseyside.
Palace’s heightened interest in Sakho likely stems from their poor start to the season, with Frank de Boer presiding over three consecutive losses in the Premier League so far.
The withdrawal of centre-back James Tomkins through injury midway through that frustration at Selhurst Park has magnified the need for Palace to sign another defender.
Meanwhile, Leicester’s ageing duo of Wes Morgan and Ronald Huth are in need to upgrading on, with the arrival Sakho to join summer arrival Harry Maguire an interesting prospect.
Liverpool find themselves in a surprisingly strong position in the closing stages of the transfer window, in terms of both ins and outs.
With the signing of RB Leipzig’s Naby Keita sealed for next summer, they will be pushing forward with moves to bring in Van Dijk and AS Monaco’s Thomas Lemar before Thursday night.