The Belgian international striker returned to the Serie A club on a season-long loan last summer.
Lukaku wants a permanent move and is hoping an agreement can be reached between both clubs.
However, it appears Inter have other ideas and are ready to move on.
The Italian club could also lose Edin Dzeko after failing to convince him to agree to a one-year extension.
Inter would be left with Lautaro Martinez as their only striking option, but they are expected to sign more.
West Ham United striker Gianluca Scamacca is also reportedly on their radar.
Lukaku has struggled with fitness issues all season. The 29-year-old has bagged five goals and one assist in 18 games across all competitions.
The injuries are no fault of his, but it seems Inter are not keen on keeping him.
Lukaku returned to Chelsea in 2021 after two seasons at Inter yielded 47 league goals.
However, he scored just eight times in 26 Premier League appearances and fell out of favour.
The Blues could do with a striker right now, and the Belgian could still play for them.
If Inter and Chelsea are unable to reach a deal, Lukaku could be back for pre-season in the summer.
A move elsewhere cannot be ruled out, but manager Graham Potter could be interested in working with him.
Lukaku will not be short of options in the summer, and it will be interesting to see where he plies his trade next term.
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