The Sun says Zola is ready to hand on-loan defender Ilunga a two-year deal.
Ilunga's agent Daniel Striani stated last week his client was growing impatient with the lack of progress over a new deal.
But boss Zola maintains Ilunga is one player he wants to keep.
He said: "Ilunga has been performing fantastically since the beginning and we want to keep him.
"We really trust him and I can tell you he's not going to leave."