Promoter Ben Shalom believes that the bout is now a possibility as the Kazakh fighter is unlikely to take on Saul 'Canelo' Alvarez following the Mexican's surprise loss to Dmitry Bivol.
Shalom told Sky Sports: "It will be interesting to see what happens with the Canelo-Golovkin fight, because Golovkin was a fight that Chris really wanted and I think that's a great fight for Chris.
"Golovkin's been waiting for that rematch with Canelo and if Canelo's now going to fight Bivol in a rematch, then CEJ-GGG could become more likely. I'd like to see him fight for world titles, whether it's Golovkin, Zhanibek, Lara - that's what he should be aiming for."
Eubank Jr had been hoping for a fight with Kell Brook, although those have vanished following the Brit's retirement, and Shalom wants to see the boxer compete for a world title.
The promoter said: "Chris Eubank Jr won't duck anyone and has never ducked anyone. He wants world titles and that's always been the ambition. Who wouldn't want a big fight with Kell Brook? Of course Eubank wanted that, but at the same time his ambition is world titles and his ambition is the biggest names.
"We believe he's going to have his world title shot very soon and we think that's the right path for him. It was right for Kell to retire and it's also right for Chris to be fighting the very best now of active fighters and be going for the titles."