Lukaku re-joined the Serie A side for a season-long loan only one year after his club-record £97.5m move to Chelsea.
The Belgium striker fell out with former manager Thomas Tuchel after scoring just eight Premier League goals in 2021/2022.
It had been expected that Lukaku could get a fresh chance at Stamford Bridge after Graham Potter replaced Tuchel.
However, it is now understood that Lukaku still does not want a return to the Blues.
Inter don’t have a purchase option and will look to loan the 29-year-old once again for the 2023/2024 season.