Several clubs are chasing his signature across Europe, not just the Premier League, with Napoli also keen.
He has scored 18 times in all competitions and is one of several players that has enjoyed a fine campaign with Lille, who could be in for a major summer exodus.
As well as Osimhen, Boubakary Soumare, Mike Maignan and Gabriel Magalhaes have been linked with moves away.
Several black players have been abused because of the colour of their skin in Italy this season, including Mario Balotelli, Kalidou Koulibaly and Romelu Lukaku.
Osita Okolo said: "The racism issue. In Italy there is a big problem from my point of view, unfortunately, it is a widespread phenomenon.
"In any case, the final word on his future will be up to Victor and no one else."
It has given the likes of Liverpool and Arsenal hope that a transfer could be complete.
The Reds are in the market for another forward to alleviate the pressure on their current crop.
Divock Origi is eyeing an exit in search of first-team football while Rhian Brewster could remain with Swansea on loan.
At Arsenal, Mikel Arteta may find his situation a tad more desperate.
The likes of Alexandre Lacazette and Pierre-Emerick Aubameyang have been strongly linked with moves away.
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Both players are desperate to play in the Champions League while the Gunners sit 10th in the table.
In the past, Osimhen's agent has played up a move to Napoli, insisting that it is a great club.
"Naples is a fantastic city and Napoli are a very good team," he said in June.
“I’m always honoured whenever I hear these links, but for now there’s no deal in place, even if negotiations with them are ongoing.
“He wants to play regularly, we’re not going to repeat certain bad experiences from the past.
“The Napoli fans are fantastic, their stadium is beautiful. I can only speak well of Naples and its team.”