Osimhen was the star of Lille in the season that just ended in France with 18 goals in all competitions.
Due to his performances, the 21-year-old is linked to several major European clubs and reports have already emerged of some offers that Lille owner Lopez has confirmed.
Lopez also revealed that Lille rejected offers from English and Spanish clubs in the January transfer window.
"There are several offers. We declined an offer in English and one in Spanish in this January transfer window"Said Lopez Daily Mail.
Osimhen was the star of Lille last season with 18 goals in all competitions
"There is a wide variety [this summer] and I would not like to name the clubs that are bidding, but what I can say is that there are several [offers].
"There are three championships that have clubs that have bid for him. "
Osimhen is highly rated by Lille and Lopez has revealed that he will charge a fee close to £ 72m Arsenal paid for Nicolas Pepe last summer to hire you
"I’m not a salesman, because last year people didn’t believe we had the offers we had with [Nicolas] Pepe and it turns out that we had several of them,Lopez said.
"Let me tell you with Osimhen, it's the same, whatever number you hear, the loud number I read is a lot about the money from the offers we received. That's where we are."
Osimhen joined Lille for about £ 10 million last summer on a five-year deal and went into action immediately as a first-choice striker.
He scored 13 in the championship and two in the Champions League including one against Chelsea.
The striker was included in the Call 1Team of the Season and was also nominated for the Best African Player of Lique 1 award.
Napoli, Arsenal, Liverpool and Tottenham some of the clubs that are interested in signing, although their Nigerian agent Ariyo Igbayilola recently ruled out Tottenham because he believes the attacker would have no chance due to the presence of Harry Kane.