Olympique Marseille boss Didier Deschamps is seen as favourite for the Liverpool post.
The Daily Mail says Fenway Sports Group are at breaking point over current manager Roy Hodgson.
Deschamps was a candidate to replace Rafa Benitez last summer and he made what insiders described at the time as a 'fantastic' impression when he met with Liverpool officials.
A proven track record of success wherever Deschamps has been - not to mention experience of the Barclays Premier League from his time with Chelsea as a player - would appeal to FSG.
Deschamps is also familiar with working under a director of football strategy - in this case Damien Comolli, who was appointed by FSG in November.
