The 28-year-old midfielder joined PSV on loan last October following a frustrating two years of rehabilitation for his knee injury.
Despite the lengthy absence, he actually signed a contract extension last summer prior to his loan move.
Van Ginkel has had to ease his return to the football pitch and wait until earlier this month to make his first full 90 minutes appearance.
The PSV board seem satisfied with his performance and, according to De Jong, are planning to secure the former Vitesse Arnhem player’s service permanently.
He also claimed that PSV might be able to sign the midfielder on a free transfer following Chelsea’s decision.
It is great to see how Marco van Ginkel has come back and that he can handle the level,” De Jong told Dutch outlet ED.
“We know the trajectory he came from and I am happy to see that he is doing so well.”
“When you talk about leadership and character, he is an example.
“Because of that last week with three games in eight days, everyone now feels that he can handle the load.
“I think it’s very logical that we’re talking to him about a contract.
“This also depends on the financial conditions of course.
“We waited until the moment he would be on a free transfer or not. Chelsea had until 15 May to exercise an option and as far as we know that did not happen.
“Marco seems very happy and also wants to continue. I assume we will come to each other, but you can never be sure in advance.”