Osimen was rumored to be leaving the club earlier this season but those rumors did not come true. Rumors that Osimen could leave his current club and join PSG intensified when Mbappe left the club to join Real Madrid again this season. We often notice that Osimen does not have a good understanding with the current club, so because he is not having a good understanding with the club, he may decide to leave the club and join a new club where he will be respected enough.
Regarding Osimhen transfer, it is still an unsolved mystery because there are still pros and cons regarding the very high price and this article says:"But transfer expert Fabrizio Romano insists that there is unlikely to be any concrete movement on Osimhen’s situation until later in the summer"
Source
"A swap deal between Chelsea and Napoli could potentially be negotiated as new boss Antonio Conte ‘only’ wants Romelu Lukaku"
I have said this before and actually I agree more if Osimhen stays and appears with Conte to gain greater experience than choosing Lukaku. I'm worried that Osimhen will leave and be replaced Lukaku. But the more rumors spread, the more I become convinced that Osimhen will soon leave Napoli, but with a transfer fee of under €130m.