Sokratis has been linked with a move away from the Gunners all summer with Mikel Arteta having strengthened his defence with the signing of Gabriel.
The Greek star’s Arsenal deal ends next summer and Napoli are believed to be interested in him.
Corriere del Mezzogiorno say Sokratis ‘already has an agreement’, though needs Koulibaly to depart with Manchester City keen on the Senegalese ace.
It’s added that Sokratis would sign a two-year deal at Napoli with the option of a third though Gunners boss Arteta is not expecting any more space to be made in his squad just yet.
He said: “I think every case you take it individually. First of all try to understand if they want to leave, why.
“At the moment I’m not expecting anyone to leave shortly.”
Though Arteta has hinted that he may have to sell players if he wants to improve his squad with more additions.
He added: "We are trying all the time to adjust the squad in the most efficient way.
“It is clear at the moment that it has to go both ways and in order to achieve that we still have some time but we are pretty clear in what we are trying to do.
“Again, with all the players that we have here, we're going to try to get the best out of them.
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“We're going to try to improve them as much as we possibly can and create the right environment for them so that they are happy at the club, because I believe it's the most important thing for them to perform to the level that we want.
“After that, obviously in the market there are things that we cannot control. There are things that we can control and let's try to manage in the best possible way."