The Serbian joined the club last summer on a free transfer from Standard Liege but barely figured after Kenny Dalglish replaced Roy Hodgson in January, and he is set to return to Belgium.
The player told Foot Magazine: "My wife adores Brussels and is pushing me to return to Belgium where I only have on offer. I am still buzzing after my meeting with Anderlecht in Qatar.
"I was moved by the importance given to me by the Belgian sporting press over the past week. And that makes me think because Belgium is my second country!"
His agent told the magazine: “The transfer of Jovanovic to Anderlecht is 99 per cent complete.”
Lille are also thought to be interested in his signature and the forward said that he would consider moving to the French champions.
He told Nord Eclair: “Lille, like Anderlecht, are a nice option for me.
“This is a good club, which plays at the top of the French game, a high-level competition, and who will play the group stage of Champions League. That's interesting. For now, I listen to everyone."