Celtic midfielder Rogic, who needs game time to cement his place in Australia's 2014 FIFA World Cup squad, is expected to make his debut for Kevin Muscat's men against Sydney FC at Etihad Stadium on Sunday week.
Ironically, it was the Sky Blues who earlier this week tabled a bid to bring Rogic back on a long-term deal but Celtic knocked back the offer, paving the way for Victory to pounce in a deal which will see him stay with the club until May.
With Victory's fellow creative midfielder Mitch Nichols heading to J.League club Cerezo Osaka, Rogic, who is expected to arrive in Australia early next week, will also be registered by coach Muscat as part of his AFC Asian Champions League squad.
Celtic is expected to officially confirm the switch for the 21-year-old it signed a year ago from Central Coast Mariners within the next 24 hours.
Rogic's London-based lawyer-agent Daniel Berman confirmed Sydney's earlier interest in Rogic to Celtic, explaining: "I understand that Sydney made contact with Celtic, who were not willing to sell the player.
"In those circumstances, it was never a matter for our consideration."
He declined, however, to comment further on Rogic's situation.
The player, who still has over three years left on his Celtic contract, will be relieved that the saga over his immediate future has been resolved in a deal which is believed to have been ratified in principle by all parties on Friday night, pending the completion of paperwork.
Rogic will now have the opportunity to play the games which will hopefully see him hit the ground running in Brazil in June where Australia has been drawn to face Spain, Netherlands and Chile in its group.
Rogic has made just 14 first team appearances at Parkhead and only five starts, but he is match fit after recovering from a series of niggling injuries.