As far as I know, Napoli is trying to keep one of the players at least. But it is untrue if Conte isn't worried because Osimhen and Kvaratskhelia actually have different positions in the lineup.
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Khvicha Kvaratskhelia and Victor Oshimen are both strikers so Conte can still rely on one of them if it is true that one of them will leave, in my opinion Oshimen and Kvaratskhelia's performance is not much different and Conte can put Kvarat in Oshimen's position but yes Conte still needs players others to fill the void that will be left behind.
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Conte himself has confirmed that Kvaratskhelia will not leave the club this season, because his contract still runs until 2027 at Napoli. This was also confirmed by the president of Napoli that Kvaratskhelia is a great player and will stay at the club this season.
Source: Conte said about KvaratskheliaHowever, based on the latest news, Kvaratskhelia rejected Napoli's offer and has not yet continued talks. Yes, it is an option extension contract until 2029, but the player is not interested in that yet. Previously, based on rumors, PSG was interested in taking Kvaratskhelia, but that was just a rumor and certainly won't happen this season after the statement from Napoli.
And for Osimhen, he will still leave Napoli and Napoli have also made a new clause release for Osimhen. Based on the latest news, Napoli's release price for Osimhen is around €120m... and Chelsea is still a candidate club which is currently quite close to Osimhen's transfer.
Most likely what will happen is like the previous news, namely by swapping Osimhen to Chelsea and Lukaku to Napoli. And negotiations are still ongoing today. Meanwhile, Conte also agreed to negotiate with Osimhen.
News about Osimhen:
Source: Osimhen release clause is around €120mSource: Victor Osimhen meeting set-ChelseaSource: Napoli make Victor Osimhen transfer decision