Liverpool are encouraged as Chelsea chiefs are resigned to failing to agree terms on a new deal with Mason Mount.
The England international, 24, is set to enter the final 12 months of his Blues deal this summer.
The Telegraph says there has been no breakthrough with regards to contract negotiations.
It is understood the London club will be forced to "make a decision" in the summer if they cannot pen new terms.
Some bosses at Stamford Bridge are said to be "resigned" to him not committing to the Chelsea project moving forward.
He has been linked with a move to Liverpool at the end of the season if Chelsea are unable to tie him down to a long-term agreement.