Chavez was locked in talks with ‘GGG’ for a number of weeks, although the fight reached a deadlock before the WBA stipulated that Golovkin had to defend his title against mandatory challenger Jarrod Fletcher.
That news totally killed off any chance of the super-fight happening over the summer, and Bika is now looking to capitalize by offering one-time middleweight king Chavez the chance to face him for the 168lb belt.
“Although there have been no formal talks for a fight against Chavez Jr. there are many rumors that he wants to fight me,” said Bika.
“I think if this bout does happen, it will be a war, because the styles are perfect for the match.
“In his rematch with Bryan Vera, he looked good and won comfortably. I’m sure he deserves a chance,” he added.
Bika, 35, picked up the coveted green strap in June 2013 when defeating Marco Periban, before engaging with unbeaten Anthony Dirrell in his first defence last December, which ended in a split decision draw.
Follow on Twitter @PhilDJay for tweets of upcoming news on WBN