The German is happy to see the England global leave, with Sevilla also interested in him.
Despite this, Sturridge has still scored three goals and assisted a further three, with his peripheral role fuelling a desire to leave in order to make the England squad for the World Cup.
Inter are keen to replace Eder with 28-year-old Liverpool forward Daniel Sturridge
The chances of Sturridge move out this January are high, but if interested clubs fail to meet Liverpool's demands, he may as well stay at Anfield.
Furthermore, "discussions have also opened up towards a potential permanent transfer at the end of this season", which presents Liverpool with an ideal resolution.
Having dealt with illness and muscular injuries, the former Manchester City and Chelsea player last appeared for Liverpool on December 6, but has since returned to full training.
The former Chelsea frontman had been said to be favouring a move to La Liga side Sevilla, but it would appear that Inter and now favourites for his signature - despite fellow Serie A side Roma also entering the running for Sturridge.