The Italy international came close to leaving the Reds on transfer deadline day, but a proposed £10m switch to QPR collapsed due to his mammoth wage demands – rumoured to be close to £100,000-per-week.
Borini also rejected Sunderland, despite Liverpool having accepted an offer from the side who loaned him last season.
Now the 23-year-old is set to play fourth choice in Brendan Rodgers’ forward line set-up, behind Daniel Sturridge and new pair Mario Balotelli and Rickie Lambert.
It is claimed that Borini has elected to warm the bench at Anfield in a bid to ensure that he gets a big move to Inter in January, with the Serie A side interested in him.
A loan with a view to a permanent deal may be on the cards, with the Italians likely to pursue such an avenue given Liverpool desire to offload the hit-man.